QuestionJuly 15, 2025

26. (6)/(25)div (-(3)/(5))

26. (6)/(25)div (-(3)/(5))
26. (6)/(25)div (-(3)/(5))

Solution
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Answer

\frac{-2}{5} Explanation 1. Convert Division to Multiplication Use the rule \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}. 2. Apply the Rule \frac{6}{25} \times -\frac{5}{3}. 3. Multiply the Fractions Multiply numerators: 6 \times (-5) = -30; multiply denominators: 25 \times 3 = 75. 4. Simplify the Fraction Simplify \frac{-30}{75} by dividing both numerator and denominator by 15, resulting in \frac{-2}{5}.

Explanation

1. Convert Division to Multiplication<br /> Use the rule $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$.<br />2. Apply the Rule<br /> $\frac{6}{25} \times -\frac{5}{3}$.<br />3. Multiply the Fractions<br /> Multiply numerators: $6 \times (-5) = -30$; multiply denominators: $25 \times 3 = 75$.<br />4. Simplify the Fraction<br /> Simplify $\frac{-30}{75}$ by dividing both numerator and denominator by 15, resulting in $\frac{-2}{5}$.
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