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Divide.
Write your answer in simplest form.

-(4)/(3)÷(9)/(5)=?

Divide. $\newline$ Write your answer in simplest form. $\newline$ $-\frac{4}{3} \div \frac{9}{5}=?$

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Multiply and divide rational expressions

Full solution

Q. Divide.

\newline

Write your answer in simplest form.

\newline

-\frac{4}{3} \div \frac{9}{5}=?

Write as multiplication: First, write the division as a multiplication by the reciprocal of the second fraction. $-\frac{4}{3}$ $\div$ $\frac{9}{5}$ becomes $-\frac{4}{3}$ $*$ $\frac{5}{9}$ .
Multiply numerators and denominators: Now, multiply the numerators and the denominators. $\newline$ $-4 \times 5 = -20$ for the numerator and $3 \times 9 = 27$ for the denominator. $\newline$ So, $-(\frac{4}{3}) \times (\frac{5}{9}) = \frac{-20}{27}$ .
Check for simplification: Check if $-\frac{20}{27}$ can be simplified. $\newline$ Both $-20$ and $27$ don't have any common factors other than $1$ , so the fraction is already in simplest form.

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