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Divide. Write your answer in simplest form. (9)/(7)÷(-(9)/(5))=?

Divide.\newlineWrite your answer in simplest form.\newline97÷(−95)=? \frac{9}{7} \div\left(-\frac{9}{5}\right)=?

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Multiply and divide rational expressionsright chevron icon

Full solution

Q. Divide.\newlineWrite your answer in simplest form.\newline97÷(−95)=? \frac{9}{7} \div\left(-\frac{9}{5}\right)=?
  1. Rewrite Division as Multiplication: Rewrite the division as multiplication by the reciprocal of the second fraction.\newline(97)÷(−(95))=(97)×(−(59))(\frac{9}{7}) \div (-(\frac{9}{5})) = (\frac{9}{7}) \times (-(\frac{5}{9}))
  2. Multiply Numerators and Denominators: Multiply the numerators and the denominators.\newline(9×−5)/(7×9)=−45/63(9 \times -5) / (7 \times 9) = -45 / 63
  3. Simplify Fraction by GCD: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.\newlineGCD of 4545 and 6363 is 99.\newline(−45/63)/9=−5/7(-45 / 63) / 9 = -5 / 7

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