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:
- $\frac{7}{9} \to 0.7$
- $\frac{16}{22} \to 0.72$
- $\frac{75}{99} \to 0.75$
Fraction Decimal 9E75E6
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