Subjects algebra

Fraction Decimal 9E75E6

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1. The problem asks to match each fraction with its corresponding repeating decimal. 2. To solve this, convert each fraction to a decimal by dividing numerator by denominator and observe the repeating pattern. 3. Convert $\frac{7}{9}$: $$\frac{7}{9} = 0.\overline{7} = 0.7777...$$ This matches the decimal $0.7$. 4. Convert $\frac{16}{22}$: Simplify first: $$\frac{16}{22} = \frac{8}{11}$$ Divide 8 by 11: $$8 \div 11 = 0.\overline{72} = 0.727272...$$ This matches the decimal $0.72$. 5. Convert $\frac{75}{99}$: Divide 75 by 99: $$\frac{75}{99} = 0.\overline{75} = 0.757575...$$ This matches the decimal $0.75$. 6. The decimal $0.79$ does not correspond to any of these fractions. Final matches: - $\frac{7}{9} \to 0.7$ - $\frac{16}{22} \to 0.72$ - $\frac{75}{99} \to 0.75$