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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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.
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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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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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Subtract from to find an expression for .
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Find .
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Q11:
Simplify , giving your answer in the form .
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