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Convert repeating decimals to fractions in this Beta Exercise worksheet.

$Beta Exercise worksheet with instructions to convert repeating decimals to fractions, featuring eight problems with decimal numbers like 0.6̇, 0.4̇, 0.7̇, etc.$

Beta Exercise worksheet with instructions to convert repeating decimals to fractions, featuring eight problems with decimal numbers like 0.6̇, 0.4̇, 0.7̇, etc.

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Show Answer Key & Explanations Step-by-step solution for: N10b - Converting recurring decimals into fractions and vice versa ...

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1. $0.\overline{6} = \frac{2}{3}$
2. $0.\overline{4} = \frac{4}{9}$
3. $0.\overline{7} = \frac{7}{9}$
4. $0.\overline{5} = \frac{5}{9}$
5. $0.0\overline{2} = \frac{2}{90} = \frac{1}{45}$
6. $0.0\overline{9} = \frac{9}{90} = \frac{1}{10}$
7. $0.5\overline{3} = \frac{53 - 5}{90} = \frac{48}{90} = \frac{8}{15}$
8. $0.1\overline{38} = \frac{138 - 1}{990} = \frac{137}{990}$

Parent Tip: Review the logic above to help your child master the concept of converting repeating decimals to fractions worksheet with answers.

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