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

Write as multiplication: First, let's write the division as a multiplication by the reciprocal of the second fraction. (4/5) ÷ (-(2/9)) = (4/5) * (-(9/2))Multiply numerators and denominators: Now, multiply the numerators and the denominators. (4 * -9) / (5 * 2) = -36 / 10Simplify the fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common factor, which is 2. -36 / 10 = (-36/2) / (10/2) = -18 / 5

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Divide.
Write your answer in simplest form.

(4)/(5)÷(-(2)/(9))=?

Divide. $\newline$ Write your answer in simplest form. $\newline$ $\frac{4}{5} \div\left(-\frac{2}{9}\right)=?$

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Algebra 2

Multiply and divide rational expressions

Full solution

Q. Divide.

\newline

Write your answer in simplest form.

\newline

\frac{4}{5} \div\left(-\frac{2}{9}\right)=?

Write as multiplication: First, let's write the division as a multiplication by the reciprocal of the second fraction. $\newline$ $(\frac{4}{5}) \div (-(\frac{2}{9})) = (\frac{4}{5}) \times (-(\frac{9}{2}))$
Multiply numerators and denominators: Now, multiply the numerators and the denominators. $\newline$ $(4 \times -9) / (5 \times 2) = -36 / 10$
Simplify the fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common factor, which is $2$ . $\newline$ $-36 / 10 = (-36/2) / (10/2) = -18 / 5$