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Divide. \newline18÷14\frac{1}{8}\div\frac{1}{4}

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Q. Divide. \newline18÷14\frac{1}{8}\div\frac{1}{4}
  1. Identify Multiplication Form: Identify the multiplication form of 18÷14\frac{1}{8} \div \frac{1}{4}.\newlineDividing by a number is the same as multiplying by its reciprocal.\newline18÷14=18×41\frac{1}{8} \div \frac{1}{4} = \frac{1}{8} \times \frac{4}{1}
  2. Multiply Fractions: Multiply 18\frac{1}{8} by 41\frac{4}{1}. \newline18×41=(1×48×1)\frac{1}{8} \times \frac{4}{1} = \left(\frac{1 \times 4}{8 \times 1}\right)=48= \frac{4}{8}
  3. Simplify Fraction: Simplify the fraction 48\frac{4}{8}. \newline44 and 88 are both divisible by 44.\newline4÷4=14 \div 4 = 1\newline8÷4=28 \div 4 = 2\newlineSo, 48\frac{4}{8} simplifies to 12\frac{1}{2}.

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