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Divide. \newline18÷16\frac{1}{8}\div\frac{1}{6}

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Q. Divide. \newline18÷16\frac{1}{8}\div\frac{1}{6}
  1. Identify Multiplication Form: Identify the multiplication form of 18÷16\frac{1}{8} \div \frac{1}{6}.\newlineDividing by a number is the same as multiplying by its reciprocal.\newline18÷16=18×61\frac{1}{8} \div \frac{1}{6} = \frac{1}{8} \times \frac{6}{1}
  2. Multiply Fractions: Multiply 18\frac{1}{8} by 61\frac{6}{1}. \newline18×61=(1×68×1)=68\frac{1}{8} \times \frac{6}{1} = \left(\frac{1 \times 6}{8 \times 1}\right) = \frac{6}{8}
  3. Simplify Fraction: Simplify the fraction 68\frac{6}{8}. \newline68\frac{6}{8} can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 22. \newline68=(6÷28÷2)=34\frac{6}{8} = \left(\frac{6 \div 2}{8 \div 2}\right) = \frac{3}{4}

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