Practice Improper Fractions in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

A fraction where the numerator is greater than or equal to the denominator, representing a value of one or more.

\frac{7}{4} means you have 7 quarter-pieces—that's more than one whole (which would be \frac{4}{4}).

Example 1

easy
Identify whether each fraction is proper or improper, and explain: \frac{3}{7}, \frac{9}{9}, \frac{11}{5}.

Example 2

medium
You have 17 quarter-slices of pizza (\frac{1}{4} each). Write this as an improper fraction and determine how many whole pizzas and leftover slices you have.

Example 3

easy
Write \frac{25}{6} as a mixed number.

Example 4

medium
Multiply \frac{7}{3} \times \frac{9}{4} and give the answer as both an improper fraction and a mixed number.

Example 5

medium
Convert \frac{17}{5} to a mixed number, then convert 3\frac{2}{7} to an improper fraction.
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