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Divide. Write your answer in simplest form. -(7)/(9)÷(9)/(8)=?

Divide.\newlineWrite your answer in simplest form.\newline−79÷98=? -\frac{7}{9} \div \frac{9}{8}=?

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Multiply and divide rational expressionsright chevron icon

Full solution

Q. Divide.\newlineWrite your answer in simplest form.\newline−79÷98=? -\frac{7}{9} \div \frac{9}{8}=?
  1. Flip Fraction: Flip the second fraction to find the reciprocal, so (9/8)(9/8) becomes (8/9)(8/9).
  2. Multiply Fractions: Now multiply the first fraction by the reciprocal of the second fraction: −79×89-\frac{7}{9} \times \frac{8}{9}.
  3. Multiply Numerators and Denominators: Multiply the numerators together and the denominators together: −7×8=−56-7 \times 8 = -56 and 9×9=819 \times 9 = 81.
  4. Calculate Result: The result is −5681.-\frac{56}{81}.
  5. Simplify Fraction: Simplify the fraction by finding the greatest common divisor (GCD) of 5656 and 8181, which is 11, so the fraction is already in simplest form.

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