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.

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

Showing a random 20 of 50 problems.

Example 1

easy
What is 66?

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 n is n6 improper?

Example 4

medium
Order least to greatest: 54, 98, 32.

Example 5

medium
Convert 175 to a mixed number, then back to confirm.

Example 6

easy
What does 44 equal?

Example 7

medium
Convert 296 to a mixed number.

Example 8

medium
Multiply 74×2 and write as a mixed number.

Example 9

medium
Multiply 73×94 and give the answer as both an improper fraction and a mixed number.

Example 10

challenge
Find the value of (52)2−32×43.

Example 11

easy
Convert 315 to an improper fraction.

Example 12

easy
Identify whether each fraction is proper or improper, and explain: 37, 99, 115.

Example 13

medium
Simplify 249 as a mixed number in lowest terms.

Example 14

medium
Multiply 53×3 and simplify.

Example 15

easy
Convert 423 to an improper fraction.

Example 16

easy
Write 256 as a mixed number.

Example 17

medium
You have 23 thirds of an orange. Express as a mixed number and as a whole-and-fraction interpretation.

Example 18

easy
What is 05?

Example 19

easy
Convert 103 to a mixed number.

Example 20

medium
Add 74+54 and write as a mixed number.