QuestionAugust 25, 2025

11.) (-1)/(6) div (1)/(4)

11.) (-1)/(6) div (1)/(4)
11.) (-1)/(6) div (1)/(4)

Solution
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Answer

\frac{-2}{3} Explanation 1. Apply Division of Fractions Use the formula for dividing fractions: \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}. 2. Multiply by Reciprocal Multiply \frac{-1}{6} by the reciprocal of \frac{1}{4}, which is \frac{4}{1}: \frac{-1}{6} \times \frac{4}{1}. 3. Perform Multiplication Calculate: \frac{-1 \times 4}{6 \times 1} = \frac{-4}{6}. 4. Simplify the Fraction Simplify \frac{-4}{6} to \frac{-2}{3}.

Explanation

1. Apply Division of Fractions<br /> Use the formula for dividing fractions: $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$.<br />2. Multiply by Reciprocal<br /> Multiply $\frac{-1}{6}$ by the reciprocal of $\frac{1}{4}$, which is $\frac{4}{1}$: $\frac{-1}{6} \times \frac{4}{1}$.<br />3. Perform Multiplication<br /> Calculate: $\frac{-1 \times 4}{6 \times 1} = \frac{-4}{6}$.<br />4. Simplify the Fraction<br /> Simplify $\frac{-4}{6}$ to $\frac{-2}{3}$.
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