Practice Improper Fractions in Math

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

Worksheet PDF Free Answer-key PDF Family

Quick Recap

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

74\frac{7}{4} means you have 7 quarter-pieces—that's more than one whole (which would be 44\frac{4}{4}).

Showing a random 20 of 50 problems.

Example 1

easy
What is 66\frac{6}{6}?

Example 2

medium
A pizza is cut into eighths. You have 19 slices. How many whole pizzas and slices is that?

Example 3

challenge
For what whole numbers nn is n6\frac{n}{6} improper?

Example 4

medium
Order least to greatest: 54\frac{5}{4}, 98\frac{9}{8}, 32\frac{3}{2}.

Example 5

medium
Convert 175\frac{17}{5} to a mixed number, then back to confirm.

Example 6

easy
What does 44\frac{4}{4} equal?

Example 7

medium
Convert 296\frac{29}{6} to a mixed number.

Example 8

medium
Multiply 74×2\frac{7}{4}\times 2 and write as a mixed number.

Example 9

medium
Multiply 73×94\frac{7}{3} \times \frac{9}{4} and give the answer as both an improper fraction and a mixed number.

Example 10

challenge
Find the value of (52)2−32×43\left(\frac{5}{2}\right)^2-\frac{3}{2}\times\frac{4}{3}.

Example 11

easy
Convert 3153\frac{1}{5} to an improper fraction.

Example 12

easy
Identify whether each fraction is proper or improper, and explain: 37\frac{3}{7}, 99\frac{9}{9}, 115\frac{11}{5}.

Example 13

medium
Simplify 249\frac{24}{9} as a mixed number in lowest terms.

Example 14

medium
Multiply 53×3\frac{5}{3}\times 3 and simplify.

Example 15

easy
Convert 4234\frac{2}{3} to an improper fraction.

Example 16

easy
Write 256\frac{25}{6} as a mixed number.

Example 17

medium
You have 2323 thirds of an orange. Express as a mixed number and as a whole-and-fraction interpretation.

Example 18

easy
What is 05\frac{0}{5}?

Example 19

easy
Convert 103\frac{10}{3} to a mixed number.

Example 20

medium
Add 74+54\frac{7}{4}+\frac{5}{4} and write as a mixed number.
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