# 4. Practice converting repeating decimals into fractions (FP)

teaches Common Core State Standards CCSS.Math.Content.8.NS.A.1 http://corestandards.org/Math/Content/8/NS/A/1
teaches Common Core State Standards CCSS.Math.Practice.MP8 http://corestandards.org/Math/Practice/MP8

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Lesson objective: Practice writing repeating decimals in fraction form.

This lesson helps to build procedural skill with writing repeating decimals as fractions with an integer numerator and an integer denominator. A number line is used here because it supports students' understanding that both the decimal form and the fraction form represent the same value. This work develops students' understanding that the decimal form of rational numbers has the same value and names the same point on the number line as the fraction form of the number.

Students engage in Mathematical Practice 8 (look for and express regularity in repeated reasoning) as they write and solve equations to find the fraction form of various repeating decimals.

Key vocabulary:

• rational number
• repeating decimal
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