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Divide.
Write your answer in simplest form.

(2)/(9)÷(-(6)/(5))=?

Divide. $\newline$ Write your answer in simplest form. $\newline$ $\frac{2}{9} \div\left(-\frac{6}{5}\right)=?$

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Multiply and divide rational expressions

Full solution

Q. Divide.

\newline

Write your answer in simplest form.

\newline

\frac{2}{9} \div\left(-\frac{6}{5}\right)=?

Flip Fraction: Flip the second fraction to find the reciprocal, so $-\frac{6}{5}$ becomes $-\frac{5}{6}$ .
Multiply Fractions: Now multiply the first fraction by the reciprocal of the second fraction: $(\frac{2}{9}) \times (\frac{-5}{6})$ .
Multiply Numerators and Denominators: Multiply the numerators together and the denominators together: $2 \times -5 = -10$ and $9 \times 6 = 54$ .
Simplify Result: The result is $-\frac{10}{54}$ , but we gotta simplify it.
Divide by $2$ : Both $-10$ and $54$ are divisible by $2$ , so divide them both by $2$ to simplify.
Final Simplified Form: After dividing, we get $-\frac{5}{27}$ as the simplified form.

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