How to use fractions in a sentence

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Sentence Examples The Mathematics Computation subtest assesses skills in computing with whole numbers, fractions, mixed numbers, decimals, and algebraic equations. The resulting soluble organic fractions were analysed for polynuclear aromatic compounds and tested for mutagenic effects. His first notebook was on hypergeometric series, continued fractions, singular moduli, and many branches of number theory. The liter and its fractions have vanquished quarts, pints, and gallons, while the pound is still holding its own in things such as produce. Upland soils are highly weathered alfisols and ultisols, with large clay fractions and chert intermixed throughout the profile. Price reports that significant fractions of Americans believe in astrology, clairvoyance, telepathy, and communication with the dead. They should also be able to understand basic maths and geometry, including fractions, decimals, multiplication and division. The presence of sulfurated compounds in crude oil and heavy fractions is also undesirable. Of course, there is some overlap of the boiling points and molecular size for these fractions. Statistical analyses that took several hours in 1990 now take unmeasurably small fractions of a second. Other oil fractions showed additional effects, blocking pheromone reception or narcotising and intoxicating animals. For those unversed in the fractions and factions of Labour local politics, here is a glossary. After incubation, the samples were treated as above, and the supernatant fractions were lyophilized. Soluble and insoluble fractions were separated by centrifugation in glass centrifuge tubes. These shifts did not occur without inner turmoil and conflict, and many fractions continue to struggle within the party today. We're taking the car seat and a stroller and all the toys that distract her for more than fractions of actual seconds. Only small fractions of these fertile elements are needed for clandestine breeding of fissionable fuels. Sampling fractions for different strata were used to compute the number of subjects in each subgroup. Radionuclide ventriculography also may be used to assess left ventricular and right ventricular ejection fractions. It also contains continued fractions, quadratic equations, sums of power series and a table of sines. Show More Sentences Gold bullion coins are usually sold as one troy ounce or in fractions of an ounce. Oh, the wonders of Euroland, the rip-off merchants can no longer hide behind the vulgar fractions of currency translators. Possibly as a consequence of that, the Greek mathematicians thought of fractions in terms of ratios of integers, rather than numbers. As carbonate rocks weather, the insoluble fractions are introduced into the cave deposits. Soluble and insoluble fractions were separated by centrifugation at 8 000 g for 30 min at the extraction temperature. As chol was added, the topology of the domains was changed, and eventually phase separation disappeared at high chol fractions. The majority of the manufacturing is from the catalytic cracking of ethane, petroleum fractions, and crude oil. By comparing weights of extracted organic matter fractions, Nichols found four times more glomalin than humic acid. These include counting beanbags to learn how to add whole numbers, and folding paper strips to learn to deal with fractions. Class fractions are a fundamental feature of corporate capitalism and can become particularly potent fault lines. In complex number algebra, rationalization is the equivalent of the simplification of fractions in ordinary algebra. Wouldn't it be nice if dividing fractions were as easy as dividing whole numbers? Basic operations with whole numbers, fractions, and decimals were required to solve some problems, although many items required no calculations. This requires fractals to be given dimensions that are not whole numbers but fractions. The next problem is how to multiply and divide numbers involving fractions. But Zu would know how to reduce fractions to their lowest terms by dividing top and bottom by the greatest common divisor. In particular Zhang sees the reduction of fractions to a common denominator as hard. Cytosolic activities roughly corresponded with elemental analysis of combined dry matter fractions from whole plants. The least common denominator for two fractions is the least common multiple of their denominators. We define the least common denominator of two fractions as the least common multiples of the denominators. Show More Sentences Finding least common multiples is a preliminary step in adding and subtracting fractions with unlike denominators. Finding the least common multiple is an important skill for further dealings with fractions. Yet other experiments suggest that the change in strength at the CMF is due to dilatancy hardening at low melt fractions. Only at mol fractions of 0.7 and 0.8 are substantial amounts of anhydrous cholesterol crystals found. Napier also found exponential expressions for trigonometric functions, and introduced the decimal notation for fractions. In maths they should be able to multiply two digits by two digits, read graphs as well as working with percentages and fractions. I think they are likely to lead to conflicts between fragments and fractions within ruling corporate elites. Various attempts were made to date bulk zircon fractions from a number of granitoid rocks. The inner epithelium consists of cells enclosing large heterogeneous spherules composed of proteinic and glucidic fractions. Irrational numbers are numbers that can be written as decimals but not as fractions. We can use arithmetics with different bases, fractions, decimals, logarithms, powers, or simply words. In writing down the score, all scores are divided by 10 with fractions rounded down. Students eventually went on to work on exercises where fractions, decimals and percentages were used interchangeably. Today even basic math skills such as long division and the division of fractions are under assault. The state, then, is the condensation of a hegemonic relationship between dominant classes and class fractions. It is more than simply a political alliance between social forces represented by classes or fractions of classes. Revisionists distinguished between fractions of the ruling class in a significant way. The Greens have their pro and anti-capitalist fractions and are working though the issue. The lower middle class experiences deprivation relative to the new middle class fractions above them in terms of wealth, power, and prestige. No one would ever notice a fraction of a cent but with the amount of financial transactions going on those fractions mounted up. Show More Sentences It could be anything, from tiny fractions of a gram to hundreds of pounds of high explosives. It looks first at area problems, then looks at rules for the addition, subtraction, multiplication and division of fractions. It can change gear manually in fractions of a second whether using the manual gear lever or F1-style paddles on the steering wheel. However, in broad terms, petroleum can be divided into six fractions obtained from fractional distillation of the crude oil. Although all these fractions are written differently, they all represent the same quantity. Sometimes when working with fractions, the hardest thing to find is a common denominator. Joule also invented extremely precise thermometers, which could measure temperature changes to within fractions of a degree Fahrenheit. However he also worked on differential equations, matrices and other topics in algebra, continued fractions, geometry and number theory. You may have to multiply both fractions by different numbers to produce the same denominator for both fractions. While some problems needed only division or multiplication to solve, others used fractions or multiple steps. The ethyl acetate of the combined organic fractions was evaporated under reduced pressure. Bright sixth graders stay after school to tutor fourth graders who are having trouble with fractions or reading. Cut apples into halves, quarters or eighths to explain fractions or use nickels, dimes and quarters to teach children percentages. Students added several combinations of wood in whole numbers and mixed fractions as they tested the most economical ways to use the lumber. Coarser fractions additionally contain volcanic clasts of vesicular and porphyritic lava, tuff and pumice. He gives the reader the same method of dividing fractions as taught in schools today, namely invert the divisor and multiply. Total lipid extracts were separated into neutral and polar lipid fractions by column chromatography on Florisil 60-100 mesh. Cells were collected 48 hr later, and nuclear and cytoplastic fractions were separated. Other authors, have also reported low fractions of flowers setting fruit in pepper. More fractions can therefore be represented as finite sexagesimal fractions than can as finite decimal fractions. Show More Sentences This is a generic term for the light hydrocarbon fractions found associated with most oil deposits. Protein was determined in both microsomal and cytosolic fractions using the Lowry procedure. He wrote his doctoral thesis on algorithms for continued fractions which he submitted to the University of St Petersburg. In each case, six fractions of light were given in 2 min intervals interlaced with 2 min intervals when the light was off. As expected, the relative change of the effective conductivity is larger for higher volume fractions and higher membrane conductivity. Only common fractions and percentages were used to facilitate student understanding and encourage estimation. In 1802, he wrote a paper on the approximation of decimal fractions by common fractions. A pert, young blonde came in to put us through our mathematical paces but alas, she came bearing fractions. They utilized electron microscopy, biochemistry, and immunology to identify the biological properties of various cell fractions. Disturbances on a large power grid propagate through the system in milliseconds to fractions of a second. In 1851 he published results on transcendental numbers removing the dependence on continued fractions. Late eluting aromatic fractions composed predominantly of bicyclic and polycyclic aromatic compounds, namely alkyl-napthalenes and alkylindenes. Benzene is manufactured industrially by dehydrogenation and dealkylation of appropriate fractions of petroleum. He made substantial contributions to the analytical theory of numbers and worked on elliptic functions, continued fractions, and infinite series. Brouncker's mathematical achievements includes work on continued fractions and calculating logarithms by infinite series. He found square roots of numbers by use of an infinite series leading to an early investigation into continued fractions. The aqueous, ethanol and ethyl acetate fractions were slowly evaporated to dryness under vacuum and stored at 4 degreesC for biological study. What are the rules for converting fractions to binary and octal and vice versa? Some of the triterpenes fractions have been thought to act as in vivo precursors to steroids. What is the period of the continued fractions of the following numbers? Show More Sentences These schedules are assumed to have the same overall radiobiological effect, which depends on the relation between overall time, total dose, and the number of fractions. In order to add these fractions, we need to find the common denominator. Column addition was performed on whole numbers and then on fractions. The decimal point separates the whole numbers from the fractions or parts of numbers and so every number has a decimal point, whether we show it or not. The further separation yielded 12 fractions containing aliphatic and alicyclic, 24 containing aromatic and 1 containing nitrogen, sulphur and oxygen containing compounds. Finding least common multiples is useful in combining algebraic fractions. The flight controls had been carefully rigged to fractions of a degree while the wing slats were removed and then refitted to ensure a perfectly smooth fit. High Frequency Trading is a method used by financial institutions whereby stocks are traded in fractions of a second. Apple claims to have improved the glare problem, but its results would have to be measured in fractions. The necessary background mathematical tools are then introduced such as the arithmetical operations on sexagesimal fractions and the trigonometric functions. I actually read the backs of baseball cards, and learned to calculate batting averages before the concepts of fractions or long division were introduced in school. Proteinaceous matter released during the growth of an axenic diatom culture contains similar amino acid distributions across size fractions as in Delaware Bay samples. While there are concepts like fractions that they are already familiar with, Ashalata also introduces other concepts like symmetry and tessellation. Anyone who studies mathematics should not be afraid of the difficulty of multiplication and division, but should be afraid of the mysteries of manipulating fractions. In another experiment, bean plants grown from seed given increasing fractions of heavy water showed stunted growth compared with control plants given normal water. Because six is the product of the first two prime numbers and is adjacent to the next two prime numbers, many senary fractions have simple representations. The first deals with integers, the second with proper common fractions, the third with improper fractions, and finally the fourth with sexagesimals. He wrote three treatises on numbers which helped to bring the Indian symbols and ideas of decimal fractions to the attention of some of the learned people in Europe. A more sophisticated student may surmise that, as the parents are replaced by their parents, the binary encoding and continued fractions come into the play. Twelve items asked students to add fractions, which were graduated in difficulty from like denominators without renaming to mixed numbers with renaming. Show More Sentences Another substantial advantage is that volume fractions and molar concentrations are easily interconvertible, making comparison with experimental papers easier. Notice that negatives were allowed and so were decimal fractions. There is a cautionary note stating that for some shapes or configurations of cells there exist n-tuples of mass fractions that cannot be simultaneously sliced from cells. Because the survey used a complex stratified design with differences in sampling fractions among strata, the unweighted sample is not representative of the target population. This new chemistry also purifies DNA from a variety of other sample types, including buffy-coat, leukocyte fractions, buccal swabs, and tissue-cultured cells. The water fractions were hydrolyzed under alkaline conditions. Others would rewrite the fractions using common denominators. Even when reproductive periods were evaluated separately, there were only two differences in the fractions of animal and plant foods in the diets of those congeners. Specifically, children's responses to the less familiar quantities of zero and fractions could shed light on their performance with the more familiar whole numbers. Most relevant to this essay is Bourdieu's idea of social class fractions that depend on the composition of their three capitals, cultural, social, and economic. Fundamentalism attracts different class fractions across cultural locales in a common struggle against a diminishing or diminished social status, influence, and power. On the other hand, we can see very clearly the fractions within the hardliner camp, again in contrast to what the pro-participation group is saying. The supernatant and the precipitate fractions were separated. The acetone and methanol fractions were combined and dried under nitrogen. Oil refining separates the various fractions of petroleum by a process called fractional distillation and takes place in a large plant called a refinery. In order to facilitate comparison, we take the square root when the result is a product of two fractions and the cube root when it is the product of three fractions. They can solve routine problems involving fractions and per cents, recognize properties of basic geometric figures, and work with exponents and square roots. You can't divide this number evenly without using fractions or decimals. Convert these pairs of continued fractions into a single proper fraction. He could then pull himself up by fractions of an inch at a time. Show More Sentences The cells in different cell cycle phases were collected, and cell cycle distribution in each of the fractions from centrifugal elutriation was confirmed by flow cytometry. The seed coat tissues were separated by dissection into two fractions. Doeblin also contributed to the theory of random chains with complete connection, some of which was used in a paper by him on ergodic properties of continued fractions. Its simple and logical framework is based on the principle of decimal fractions as class marks, which are expandable to make further subdivisions. Manjunatha, On some new modular equations and their applications to continued fractions, Int. In addition, we performed ESI-MS on various chromatographic fractions obtained using both affinity and ion exchange chromatography. Antihypertensive and metabolic effects of whole maitake mushroom powder and its fractions in two rat strains. Much of the research on fractions is contained within broader research programs in relation to the rational number system. There were nineteen different fractions of a pound of a whole number of pence. By making understandable topics ranging from common fractions to a Julia set, Darling ushers readers into the world of recreational mathematics. The trends observed in both plots for all nonsolvent fractions are very similar. The extracts were fractionated into anthocyanin, neutral, polymeric and oligomeric fractions. For any integral domain there can be derived an associated field of fractions. The positive fractions were pooled and observed in SDS PAGE and zimography. A 20-item, 42-point test measured students' ability to add and subtract simple fractions and mixed numbers with like and unlike denominators. Undernutrition during the preweaning period changes calcium ATPase and ADPase activities of synaptosomal fractions of weanling rats. The ratio of modulation fractions at two wavelengths then approximates the ratio of absorbances at those wavelengths. The shareholders were then shouldering a burden of liability out of proportion to their mere ownership of theoretical fractions of the business. Some standard blends can be prepared from the different fractions, each with a certain flake size distribution and carbon content. Fahrenheit multiplied each value by four in order to eliminate fractions and increase the granularity of the scale. Show More Sentences The fractions show the holder's share in the office, and the date they held it. Oil fractions and coke were analysed for C, H, N, and S elemental composition using an Elementar Vario EL Analyzer. Most fractions of palm shell bio-oil had an inhibitory effect on honewort germination. Nevertheless, the elastic energy densities were close as a result of different fractions of dissipated energy. Immunoassays with protein fractions revealed the antibody specificity to the prolamin and glutelin fractions in the respective grains. She used the calculator to connect fractions and decimals by computing the exact answer to an improper fraction. The recently dubbed California Teacher of the Year had 26 raps explaining everything between exponents and improper fractions. An integrated study of children's construction of improper fractions and the teacher's role in promoting that learning. Those who didn't score so high had a problem with question number seven on improper fractions. She then counted the number of half units and labelled the tick marks using improper fractions on the number line. This is a useful addition to the simplistic 'out of' feature since it helps us make sense of improper fractions like thirteen-tenths. The mangrove may be directly exposed or poisoned via adsorption of the toxic soluble fractions of PAHs through the pneumatophores and prop roots. The unit fills from fractions of an ounce to up to 32 fluid ounces per piston. The parts range from flyspecks to thumbnail size or a little larger, and weights are often fractions of a milligram. Kahle M, Kleber M, Jahn R Retention of dissolved organic matter by phyllosilicate and soil clay fractions in relation to mineral properties. A comparison of the part-whole and partitive reasoning with unit and non-unit proper fractions. This usually leaves some seats unallocated, which are awarded to parties based on the largest fractions of seats that they have remaining. Horizontal spacing is further divided into multiples and fractions of the em. The multiples are called quads. The fractions are called spaces. Glycaemic variations after administration of Irvingia gabonensis seeds fractions in normoglycemic rats. Advanced topics include continued fractions, Pells equation, and the Gaussian primes. Show More Sentences The oral administration of HEAM, DCM, DCM-2, but not EA and BT fractions significantly reduced the mean arterial pressure of normotensive rats. Moreover, many continued fractions show the effect of successively canceling denominators. Patients enrolled in the study have NYHA class II, III, and IV heart failure, low ejection fractions and wide QRS complexes. Among three fractions of pycnogenol, fraction 3 significantly enhanced the potent EDR activity. Total cell lysates were centrifuged at 2,000 x g for 10 min and the supernatants were used as cytosolic fractions. The quality of added OC may influence not only the amount of undecomposed OC but also the fluxes of decomposing OC between soil fractions. Stereospecific and nonspecific interactions of the morphine congener levorphanol in subcellular fractions of mouse brain. Barrios E, Buresh RJ, Sprent JI Nitrogen mineralization in density fractions of soil organic matter from maize and legume systems. Relative concentrations of polyaromatic primary amines and azaarenes in mutagenically active nitrogen fractions from a coal liquid. Qualitative assessment of these fractions involves speciation of both the soil solution and the particulate-bound species of the soils. Motile fractions were retrieved from all samples using the direct swim-up technique. In maths the pupils should be able to multiply and divide whole numbers by 10 or 100 and be able to use simple fractions and percentages. In maths, they are able to multiply and divide whole numbers by 10 or 100 and use simple fractions and percentages. It is likely that Inca mathematics at least allowed division of integers into integers or fractions and multiplication of integers and fractions. Students go from identifying simple fractions to using those fractions to solve a variety of problems in this math app. The signal amplifier performs amplification to the IF stages from the microvolt range to fractions of a volt. We have seen that all rational numbers, and no other number, can be expressed as finite simple continued fractions. A comparison between the collectorless flotations of both size fractions showed an enhancement in the grade of the sink and float of the fine size fraction at lower pH values. For example, when the 2nd-graders were learning about fractions in math, the quintet introduced rhythm with whole notes, half notes, and quarter notes. The most common distillation fractions of petroleum are fuels. Show More Sentences This complex has units producing polyethylene, synthetic rubbers, latex, propylene glycol, pyrolysis benzene and fractions of butene, butylene and isobutylene. Current research focuses on optimizing experimental conditions for improved separation of monosome and polysome fractions in infected and control plant cells. Effects of crude extract fractions of Adenocalymma nodosum on duration of pupa stage emergence of Tenebrio molitor and phytotoxicity on vegetable crops. The ANet data showed that the children generally understood fractions. Flotation testwork on various products and size fractions of the Wilfley Table material continues, utilizing varying flowsheets and reagent schemes to optimize REE recovery. The molar fractions of acryloxyethyl-trimethylammonium-chloride monomer units incorporated in the copolymers were determined by potentiometric titrations. The Easy level has fractions with common denominators, while the other two levels have mixed denominators and students must reduce the fraction to get the answer. Davis mentioned that certain zeolites are successfully used for the selective adsorption of polar or polarizable molecules from some petroleum fractions. Before he could even begin to understand introductory algebra, he had to re-learn the fractions that he and Teddy and Vern had played pocket-pool through in the fifth grade. At the Skin and Cancer Foundation of Sydney, 3 of 28 normal volunteers reacted positively to skin testing to certain sesquiterpenoid fractions of the oil Australas. This extraction completely recovers elements associated with the exchangeable, organic and sesquioxide fractions and, to a limited extent, the phyllosilicate fraction. All laboratories submitting results for erythrocyte protoporphyrin fractions found predominantly free protoporphyrin in the erythropoietic protoporphyria patient. Keywords Continued fractions, Dirichlet L-functions, identities. The published data on B in humus fractions should be treated with caution, as the commonly utilised procedures are able to extract only a part of soil humus. It is probable, a role is played here by the fact that the prime number fractions or ratios are more fundamental quantities than the prime numbers themselves. Decimal fractions had been employed for the extraction of square roots some five centuries before his time, but nobody used decimal numbers in daily life. Students, who have only learned the shortcut algorithm for renaming mixed numbers as improper fractions, may not know that a mixed number is a sum. This theme of broader coverage within inclusive instruction also pertained to the range of proper fractions, improper fractions, and mixed numbers. Bulk samples collected from the profile were sieved into five size fractions to separate rock clasts and Fe nodules of different sizes from the fine earth fraction. Proper fractions represent less than one but more than zero. Show More Sentences In this study, peaks in the electrophoretogram were assigned to the different protein fractions based on the albumin value obtained by the BCG method. Glycosylated fractions and other posttranslational adducts separate from the main peaks, making the chromatogram somewhat challenging to interpret. Olfactory responses of lobsters to solutions from prey species and to seawater extracts and chemical fractions of fish muscle and effects of antennule ablation. Examples from Classical Literature But what a pity that we have not 12 fingers, with duodecimal fractions instead of decimals! It relates to the operations with integers and sexagesimal fractions, including roots, and contains no applications. After that the sexagesimal division system is abandoned, and fractions of seconds are estimated in decimals. The stopwatch which measures every movement in fractions of a second has become the symbol of this new economic period. The accompanying table gives the probabilities of intensities less than the fractions of n named in the first column. He's got a serious mind, Izzy has, and if you could take a thumbprint of his brain, it would be all fractions and dollar signs. The glass tube is marked with the fractions of inches, or of the metre if the metric system of measurements is used. Each of the fractions was treated with concentrated sulphuric acid, and the undissolved portions were then re-fractionated. The formula of ferric chloride has been doubled, in order to avoid fractions in the expression of the water of crystallization. We must break wholes up into fractions, and then seek their common multiple. The author subjected the original oil to fractioned distillation, and examined different fractions separately. Further, each particle will have the appearance of being equal with the fractions. Any two fractions will do if the denominator equals the sum of the two numerators. We have herds of fractions of men, acting as fractions of men and not as human beings. It is the actual conduction time in fractions of a second of the impulse from s-a node to the ventricles. It was quite wonderful to see how Sonny Boy learned spelling and fractions. The distillates were collected in successive fractions, and the furfural and volatile acid determined. Topics follow the order of whole numbers, fractions, integers, rationals, and reals. He is only in simple reduction yet, and Johnny Johnson is in fractions, and Johnny isn't half as smart as her Tommy, and she can't understand it. He was a mathematician as far as long division and decimal fractions. Show More Sentences Use the decimal system, where possible, in place of fractions. Items ranged from calculating fractions and percentages to the solution of problems of limits and the addition of tangents and secants. Now, fractions of a millisecond later, the Lady May was directly in line. Of course, fractions are not allowed, nor any tricks whatever. We can form a single united body, while the enemy must split up into fractions. Already, some online services offer listings in both fractions and decimals. It was a raw, untrained army, although some of its fractions had seen hard enough service, with a good deal of fighting, in the mountains of Western Virginia, and in Kentucky. A unit about decimals was planned for the end of the year as a way to support students to integrate their knowledge about whole number place value and fractions. Find more words! 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What is the opposite of fractions? Words that rhyme with fractions What is the adverb for fractions? What is the adjective for fractions? What is the noun for fractions? Translations for fractions Use our Sentence Generator Nearby Words fractioned fractionator fractionation fractionating fractionated fractionate fractious fractiously fractiousness fractural fracture fractured 9-letter Words Starting With f fr fra frac fract fracti fractio fraction