# Worksheet: Converting Recurring Decimals to Fractions

In this worksheet, we will practice converting a recurring decimal to a fraction or a mixed number.

Q1:

Convert to a fraction.

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• E

Q2:

Convert to a fraction.

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Q3:

Convert to a fraction.

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Q4:

Express as a rational number in its simplest form.

• A
• B0.7575
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Q5:

Which of the following is true?

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Q6:

Convert to a fraction.

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Q7:

Answer the following questions for the recurring decimal , that is, .

Let . Find an expression for .

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Subtract from to find an expression for .

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Find .

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Q8:

Answer the following questions for the recurring decimal , that is, .

Let Find an expression for .

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Subtract from to find an expression for .

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Find .

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Q9:

Convert to a fraction.

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• E

Q10:

Answer the following questions for the recurring decimal , that is, .

Let . Find an expression for .

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Find an expression for .

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• B
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• E

Subtract from to find an expression for .

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• E

Find .

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• E

Q11: