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Divide. \newline1561\frac{5}{6} ÷\div 1161\frac{1}{6} = _____

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Q. Divide. \newline1561\frac{5}{6} ÷\div 1161\frac{1}{6} = _____
  1. Convert to Improper Fractions: Convert mixed numbers to improper fractions.\newline156=(6×1+5)6=1161 \frac{5}{6} = \frac{(6\times1 + 5)}{6} = \frac{11}{6}\newline116=(6×1+1)6=761 \frac{1}{6} = \frac{(6\times1 + 1)}{6} = \frac{7}{6}
  2. Perform Division: Perform the division of the two improper fractions.\newline(116)÷(76)=(116)×(67)=6642(\frac{11}{6}) \div (\frac{7}{6}) = (\frac{11}{6}) \times (\frac{6}{7}) = \frac{66}{42}
  3. Simplify Fraction: Simplify the fraction 6642\frac{66}{42}.\newlineDivide numerator and denominator by their greatest common divisor, which is 66.\newline6642=117\frac{66}{42} = \frac{11}{7}

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