Practice Unit Fraction in Math

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

Quick Recap

A fraction with numerator 1, like \frac{1}{3} or \frac{1}{8}, representing exactly one equal part of a whole.

The building blocks of fractionsβ€”\frac{1}{2} is one of two equal parts, \frac{1}{4} is one of four.

Example 1

easy
Express \dfrac{7}{12} as a sum of distinct unit fractions with denominator at most 12.

Example 2

medium
Which is larger, \dfrac{1}{7} or \dfrac{1}{9}? Explain using the meaning of unit fractions, then verify with a common denominator.

Example 3

easy
Order the unit fractions \dfrac{1}{3}, \dfrac{1}{10}, \dfrac{1}{5}, \dfrac{1}{2} from least to greatest.

Example 4

medium
A recipe uses \dfrac{3}{4} cup of flour. Express this as a sum of unit fractions using only \dfrac{1}{2} and \dfrac{1}{4}.