"Divide. Write your answer in simplest form. 4/(5s-2)÷7s"

Rewrite division as multiplication: Rewrite the division as multiplication by the reciprocal of the second fraction. So, 4/(5s-2) ÷ 7s becomes 4/(5s-2) × 1/(7s).Multiply numerators and denominators: Multiply the numerators together and the denominators together. The numerator of the resulting fraction is 4 × 1, and the denominator is (5s-2) × 7s.Perform multiplication: Perform the multiplication in the numerator and the denominator. The numerator is 4 and the denominator is 35s^2 - 14s after multiplying 7s by each term in the binomial (5s-2).Write final answer: Write the final answer in simplest form. The fraction does not simplify further, so the final answer is 4/(35s^2 - 14s).

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Divide. Write your answer in simplest form. $\frac{4}{5s-2}\div 7s$

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Algebra 1

Multiply and divide rational expressions

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Q. Divide. Write your answer in simplest form.

\frac{4}{5s-2}\div 7s

Rewrite division as multiplication: Rewrite the division as multiplication by the reciprocal of the second fraction. So, $\frac{4}{5s-2}$ $\div$ $7s$ becomes $\frac{4}{5s-2}$ $\times$ $\frac{1}{7s}$ .
Multiply numerators and denominators: Multiply the numerators together and the denominators together. The numerator of the resulting fraction is $4 \times 1$ , and the denominator is $(5s-2) \times 7s$ .
Perform multiplication: Perform the multiplication in the numerator and the denominator. The numerator is $4$ and the denominator is $35s^2 - 14s$ after multiplying $7s$ by each term in the binomial $(5s-2)$ .
Write final answer: Write the final answer in simplest form. The fraction does not simplify further, so the final answer is $\frac{4}{35s^2 - 14s}$ .