Changing repeating decimals to fractions

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats the same sequence of digits indefinitely.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Front

How do you convert a repeating decimal to a fraction?

Back

1. Let x equal the repeating decimal. 2. Multiply x by a power of 10 to shift the decimal point. 3. Subtract the original equation from this new equation to eliminate the repeating part. 4. Solve for x.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Front

Convert 0.35 to a fraction.

Back

7/20

Front

Convert 0.266666... to a fraction.

Back

4/15

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Front

Convert 4.363636... to a fraction.

Back

48/11

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Front

Convert 0.6 to a fraction.

Back

3/5

Front

Convert 1.5555... to a fraction.

Back

1 5/9

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Front

What is the fraction representation of 0.333... ?

Back

1/3

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Front

What is the fraction representation of 0.142857... ?

Back

1/7

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Front

What is the fraction representation of 0.666... ?

Back

2/3

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1