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Divide. Write your answer in simplest form. (4)/(5)÷(-(2)/(9))=?

Divide.\newlineWrite your answer in simplest form.\newline45÷(−29)=? \frac{4}{5} \div\left(-\frac{2}{9}\right)=?

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Multiply and divide rational expressionsright chevron icon

Full solution

Q. Divide.\newlineWrite your answer in simplest form.\newline45÷(−29)=? \frac{4}{5} \div\left(-\frac{2}{9}\right)=?
  1. Write as multiplication: First, let's write the division as a multiplication by the reciprocal of the second fraction.\newline(45)÷(−(29))=(45)×(−(92))(\frac{4}{5}) \div (-(\frac{2}{9})) = (\frac{4}{5}) \times (-(\frac{9}{2}))
  2. Multiply numerators and denominators: Now, multiply the numerators and the denominators.\newline(4×−9)/(5×2)=−36/10(4 \times -9) / (5 \times 2) = -36 / 10
  3. Simplify the fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common factor, which is 22. \newline−36/10=(−36/2)/(10/2)=−18/5-36 / 10 = (-36/2) / (10/2) = -18 / 5

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