Converting Repeating Decimals to Fractions

This video tutorial explains how to convert repeating decimals into fractions. It introduces the concept of repeating decimals and the use of the vinculum to denote them. The video covers the conversion process, focusing on fractions with denominators of 9 and 11, and provides examples to illustrate these concepts. It also discusses the interesting property of 0.9 repeating being equal to 1.

What is the denominator used for converting repeating decimals?

• 10

• 9

• 100

• 11

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What is the Latin term for the bar over repeating decimals?

• Denominator

• Numerator

• Vinculum

• Repeater

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CCSS.7.NS.A.2D

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How do you convert 0.63 repeating to a fraction?

• 63/99

• 63/11

• 63/9

• 63/100

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CCSS.7.NS.A.2D

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What is the fraction equivalent of 0.5 repeating?

• 5/10

• 5/9

• 5/11

• 5/100

What is the fraction equivalent of 0.9 repeating?

• 9/10

• 9/100

• 9/9

• 9/11

What is the relationship between the numerator and the repeating decimal for fractions with a denominator of 11?

• Numerator times 10

• Numerator times 9

• Numerator times 11

• Numerator times 100

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CCSS.7.NS.A.2D

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How do you convert 0.321 repeating to a fraction?

• 321/999

• 321/1000

• 321/11

• 321/99

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What is the simplified form of 321/999?

• 107/333

• 321/1000

• 321/333

• 107/999

How do you convert 4.4 repeating to a fraction?

• 4 and 4/100

• 4 and 4/11

• 4 and 4/9

• 4 and 4/10

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CCSS.7.NS.A.2D

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What is the fraction equivalent of 5.75 repeating?

• 5 and 75/9

• 5 and 75/11

• 5 and 25/33

• 5 and 75/100

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