| The Rate-payers will be grateful for even a fraction of a penny, so long as it is not an improper fraction. |
| Your score tallies as a rapidly-shifting improper fraction, validating the non-frog half of the game's title. |
| An improper fraction is therefore equal either to an integer or to a mixed number. |
| This error is a student-developed modification of the poorly understood short-cut algorithm for renaming a mixed number as an improper fraction. |
| We choose not to demonstrate the consequences of rolling an improper fraction, as we prefer this to arise naturally during the game. |
| She used the calculator to connect fractions and decimals by computing the exact answer to an improper fraction. |
