### About Repeating Decimal to Fraction:

A repeating decimal is one that repeats the same digit or series of digits forever. We recognize the repeating digit or in some cases digits from an overbar or an ellipsis. For example, .345 is a repeating decimal. The overbar on top of the 45, indicates these two digits repeat in that order forever.

Test Objectives

- Demonstrate an advanced understanding of the addition property of equality
- Demonstrate an advanced understanding of the multiplication property of equality
- Demonstrate the ability to convert a repeating decimal into a fraction

#1:

Instructions: Convert each repeating decimal into a fraction.

a) .93

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#2:

Instructions: Convert each repeating decimal into a fraction.

a) 1.79

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#3:

Instructions: Convert each repeating decimal into a fraction.

a) 0.05437

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#4:

Instructions: Convert each repeating decimal into a fraction.

a) 16.29153

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#5:

Instructions: Convert each repeating decimal into a fraction.

a) 0.3518367

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Written Solutions:

#1:

Solutions:

a) $$\frac{14}{15}$$

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#2:

Solutions:

a) $$\frac{178}{99}$$

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#3:

Solutions:

a) $$\frac{1358}{24{,}975}$$

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#4:

Solutions:

a) $$\frac{180{,}999}{11{,}110}$$

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#5:

Solutions:

a) $$\frac{879{,}583}{2{,}499{,}975}$$