__Objective:__

At the end of this lesson, students should be able to expand decimals into simpler fractions.

Decimals consist of simple fractions that have been added up. They can therefore be broken down into these simpler fractions.

__Example 1__

**Expand 0.3796 to its simpler fractions.**

__Solution__

__Example 3__

**Write the decimal 4286.087 as a sum of its simpler fractions.**

__Solution__

__Unit 10 Lesson 4: Exercise 1__

**Expand the following decimals**

- 6.824
- 0.4273
- 35.17
- 104.926
- 8749.2
- 731.148
- 0.0603
- 8.2047
- 73.891
- 4.7814

__Unit 10 Lesson 4: Exercise 2__

**Write the following answers in decimal form.**

1) 0.296 2) 8.4637

3) 24.05 4) 647.004

5) 3025.031 6) 4.3021

7) 0.0685 8) 0.6025

9) 64.9003 10) 803.05

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