QuestionAugust 24, 2025

Multiply. (-(5)/(12))((1)/(8))(-(6)/(7))(-(1)/(7))

Multiply. (-(5)/(12))((1)/(8))(-(6)/(7))(-(1)/(7))
Multiply. (-(5)/(12))((1)/(8))(-(6)/(7))(-(1)/(7))

Solution
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Answer

\frac{5}{784} Explanation 1. Multiply the numerators Multiply -5, 1, -6, and -1: (-5) \times 1 \times (-6) \times (-1) = 30. 2. Multiply the denominators Multiply 12, 8, 7, and 7: 12 \times 8 \times 7 \times 7 = 4704. 3. Simplify the fraction Simplify \frac{30}{4704} by dividing both numerator and denominator by their greatest common divisor, which is 6: \frac{30 \div 6}{4704 \div 6} = \frac{5}{784}.

Explanation

1. Multiply the numerators<br /> Multiply $-5$, $1$, $-6$, and $-1$: $(-5) \times 1 \times (-6) \times (-1) = 30$.<br />2. Multiply the denominators<br /> Multiply $12$, $8$, $7$, and $7$: $12 \times 8 \times 7 \times 7 = 4704$.<br />3. Simplify the fraction<br /> Simplify $\frac{30}{4704}$ by dividing both numerator and denominator by their greatest common divisor, which is 6: $\frac{30 \div 6}{4704 \div 6} = \frac{5}{784}$.
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