Divide. Write your answer in simplest form. 4/w ÷ (5w - 1) ______

Multiply Numerators and Denominators: Multiply the numerators and then multiply the denominators. The numerator of the first fraction (4) times the numerator of the second fraction (w) is 4w. The denominator of the first fraction (w) times the denominator of the second fraction (5w - 1) is w(5w - 1).Simplify Expression: Simplify the expression. The w in the numerator and the w in the denominator cancel each other out because w/w = 1. This leaves us with 4/(5w - 1).Final Answer: However, we need to multiply the denominator (5w - 1) by w to get the final simplified form. So, the final answer is 4/(5w^2 - w).

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Divide. Write your answer in simplest form. $\newline$ $\frac{4}{w} \div \frac{5w - 1}{1}$

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Algebra 1

Multiply and divide rational expressions

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Q. Divide. Write your answer in simplest form.

\newline

\frac{4}{w} \div \frac{5w - 1}{1}

Multiply Numerators and Denominators: Multiply the numerators and then multiply the denominators. The numerator of the first fraction ( $4$ ) times the numerator of the second fraction ( $w$ ) is $4w$ . The denominator of the first fraction ( $w$ ) times the denominator of the second fraction ( $5w - 1$ ) is $w(5w - 1)$ .
Simplify Expression: Simplify the expression. The $w$ in the numerator and the $w$ in the denominator cancel each other out because $\frac{w}{w} = 1$ . This leaves us with $\frac{4}{5w - 1}$ .
Final Answer: However, we need to multiply the denominator $5w - 1$ by $w$ to get the final simplified form. So, the final answer is rac{4}{5w^2 - w}.