Divide. Simplify your answer. 12u/11v ÷ 5v^2 ______

Rewrite as multiplication: Rewrite the division as multiplication by the reciprocal of the second fraction. So, 12u/11v ÷ 5v^2 becomes 12u/11v × 1/5v^2.Multiply numerators and denominators: Multiply the numerators and then multiply the denominators. So, 12u/11v × 1/5v^2 becomes (12u × 1)/(11v × 5v^2).Perform multiplication: Perform the multiplication in the numerator and the denominator. The numerator is simply 12u, and the denominator is 11v × 5v^2, which simplifies to 55v^3.Write in simplest form: Write the answer in the simplest form. So, (12u × 1)/(11v × 5v^2) simplifies to 12u/55v^3.

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Divide. Simplify your answer. $\newline$ $\frac{12u}{11v} \div 5v^2$

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Algebra 1

Multiply and divide rational expressions

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Q. Divide. Simplify your answer.

\newline

\frac{12u}{11v} \div 5v^2

Rewrite as multiplication: Rewrite the division as multiplication by the reciprocal of the second fraction. So, $\frac{12u}{11v} \div \frac{5v^2}{1}$ becomes $\frac{12u}{11v} \times \frac{1}{5v^2}.$
Multiply numerators and denominators: Multiply the numerators and then multiply the denominators. So, $\frac{12u}{11v} \times \frac{1}{5v^2}$ becomes $\frac{12u \times 1}{11v \times 5v^2}$ .
Perform multiplication: Perform the multiplication in the numerator and the denominator. The numerator is simply $12u$ , and the denominator is $11v \times 5v^2$ , which simplifies to $55v^3$ .
Write in simplest form: Write the answer in the simplest form. So, $(12u \times 1)/(11v \times 5v^2)$ simplifies to $12u/55v^3$ .