Practice Mixed-Improper Conversion in Math

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

Quick Recap

The process of converting between mixed-number form and improper-fraction form, which represent the same value.

Mixed to improper: multiply the whole number by the denominator, add the numerator, keep the denominator. Improper to mixed: divide numerator by denominator to get the whole part and remainder.

Showing a random 20 of 50 problems.

Example 1

medium
Convert 1008 to a mixed number and simplify.

Example 2

medium
Convert 193 to a mixed number.

Example 3

hard
Express 2009 as a mixed number.

Example 4

hard
Find a whole number n so that n37=457.

Example 5

easy
A ribbon is 94 meters long. Write it as a mixed number.

Example 6

easy
Convert 327 to an improper fraction.

Example 7

hard
Find the value: 312×47.

Example 8

medium
Convert 538 to an improper fraction, then state the numerator.

Example 9

challenge
Find a whole number n so that n25=325.

Example 10

medium
Without dividing, explain why 507 is between 7 and 8, then give its mixed form.

Example 11

challenge
For what positive integers n does n6 equal a mixed number with whole part exactly 4?

Example 12

medium
Convert 7210 to a mixed number and simplify the fraction part.

Example 13

medium
A board is 174 feet long. Write its length as a mixed number.

Example 14

easy
Convert 712 to an improper fraction.

Example 15

easy
Convert 254 to a mixed number.

Example 16

easy
Convert 92 to a mixed number.

Example 17

medium
Convert 478 to a mixed number.

Example 18

medium
Convert 456 to a mixed number and simplify the fraction part.

Example 19

medium
Convert 307 to a mixed number.

Example 20

easy
Convert 412 to an improper fraction.