QuestionAugust 24, 2025

What is -(5)/(8)div (9)/(10) 7 -(25)/(36) -(9)/(16) -(35)/(80) -(1)/(36)

What is -(5)/(8)div (9)/(10) 7 -(25)/(36) -(9)/(16) -(35)/(80) -(1)/(36)
What is -(5)/(8)div (9)/(10) 7
-(25)/(36)
-(9)/(16)
-(35)/(80)
-(1)/(36)

Solution
4.0(157 votes)

Answer

-\frac{25}{36} Explanation 1. Apply Division of Fractions Use the formula \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}. 2. Calculate the Multiplication -\frac{5}{8} \times \frac{10}{9} = -\frac{5 \times 10}{8 \times 9} = -\frac{50}{72}. 3. Simplify the Fraction Simplify -\frac{50}{72} by dividing both numerator and denominator by their greatest common divisor, which is 2: -\frac{25}{36}.

Explanation

1. Apply Division of Fractions<br /> Use the formula $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$.<br />2. Calculate the Multiplication<br /> $-\frac{5}{8} \times \frac{10}{9} = -\frac{5 \times 10}{8 \times 9} = -\frac{50}{72}$.<br />3. Simplify the Fraction<br /> Simplify $-\frac{50}{72}$ by dividing both numerator and denominator by their greatest common divisor, which is 2: $-\frac{25}{36}$.
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