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4th grade (Eureka Math/EngageNY)

Course: 4th grade (Eureka Math/EngageNY) > Unit 6

Lesson 2: Topic B: Tenths and hundredths

Writing fractions as decimals review

Google Classroom

Review writing fractions as decimals, and try some practice problems.

Writing fractions as decimals

To convert a fraction to a decimal, we divide the numerator by the denominator.

If we have a mixed number, the whole number stays to the left of the decimal.

Example 1: $\frac{2}{5}$ ‍

\frac{2}{5} = 2 \div 5

\begin{aligned} 0. 4 \\ 5 & \overset{―}{) 2 .0} \\ \underset{―}{- 0} ↓ \\ 2 0 \\ \underset{―}{- 2 0} \\ 0 \end{aligned}

\frac{2}{5} = 0.4

Example 2: $3 \frac{7}{8}$ ‍

3

stays to the left of the decimal. Then, we divide

7

8

\frac{7}{8} = 7 \div 8

\begin{aligned} 0. 875 \\ 8 & \overset{―}{) 7 .000} \\ \underset{―}{- 0} ↓ \\ 7 0 \\ \underset{―}{- 6 4} ↓ \\ 6 0 \\ \underset{―}{5 6} ↓ \\ 4 0 \\ \underset{―}{4 0} \\ 0 \end{aligned}

3 \frac{7}{8} = 3.875

Want to learn more about writing fractions as decimals? Check out this video.

Practice

Problem 1

Rewrite $\frac{3}{10}$ ‍ as a decimal.

Want to try more problems like this? Check out this exercise.

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