D.3

Repeating Decimals to Fractions

Q1 · Sep–Nov

Write repeating decimals like 0.3̅6̅ and 0.16̅ as fractions in simplest form.

Level
Medium
Problems
Daniel Math Academy · Grade 8 Math

Repeating Decimals to Fractions

Skill D.3 · Rational & irrational numbers · ★★☆ Medium · Quarter 1

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Write each as a fraction or mixed number in simplest form.

Example

, so

Think: Two digits repeat, so multiply by 100. Subtracting the original number removes the repeating part.

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Daniel Math Academy · danielmath.comWorksheet #2skxxgx · Page 1 / 2
Daniel Math Academy · Grade 8 Math

Answer Key

D.3 Repeating Decimals to Fractions · ★★☆ Medium

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Daniel Math Academy · danielmath.comWorksheet #2skxxgx · Answer Key · Page 2 / 2