Divide. Simplify your answer. 17u^2v/18u^2v^2 ÷ 7v ______

Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the divisor. So, (17u^2v/18u^2v^2) ÷ 7v = (17u^2v/18u^2v^2) × (1/7v).Multiply numerators and denominators: Multiply the numerators and then multiply the denominators. So, (17u^2v/18u^2v^2) × (1/7v) = (17u^2v × 1)/(18u^2v^2 × 7v).Simplify by canceling common factors: Simplify the expression by canceling out common factors. u^2 cancels out, and v cancels out once because v^2 is v*v. So, (17u^2v × 1)/(18u^2v^2 × 7v) = (17)/(18v × 7).Multiply denominators: Multiply the denominators. So, 18v × 7 = 126v.Write in simplest form: Write the answer in the simplest form. So, (17)/(18v × 7) = 17/126v.

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Divide. Simplify your answer. $\newline$ $\frac{17u^2v}{18u^2v^2} \div 7v$

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Algebra 1

Multiply and divide rational expressions

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Q. Divide. Simplify your answer.

\newline

\frac{17u^2v}{18u^2v^2} \div 7v

Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the divisor. So, $(17u^2v/18u^2v^2) \div 7v = (17u^2v/18u^2v^2) \times (1/7v)$ .
Multiply numerators and denominators: Multiply the numerators and then multiply the denominators. So, $(\frac{17u^2v}{18u^2v^2}) \times (\frac{1}{7v}) = \frac{17u^2v \times 1}{18u^2v^2 \times 7v}$ .
Simplify by canceling common factors: Simplify the expression by canceling out common factors. $u^2$ cancels out, and $v$ cancels out once because $v^2$ is $v*v$ . So, $(17u^2v \times 1)/(18u^2v^2 \times 7v) = (17)/(18v \times 7)$ .
Multiply denominators: Multiply the denominators. So, $18v \times 7 = 126v$ .
Write in simplest form: Write the answer in the simplest form. So, $(17)/(18v \times 7) = 17/126v$ .