Question

problem 16.
divide these fractions and select the simplified answer.
\\(\frac{25}{14y^3} \div \frac{5}{28y^2}\\)
after you pick your answer press go.
a. \\(\frac{6}{y^3 + 2y^2}\\) b. \\(\frac{5}{7y^5}\\) c. \\(\frac{125}{392y^5}\\)
d. \\(\frac{10}{y}\\) e. \\(\frac{7}{y}\\)
go

Explanation:

Step1: Recall fraction division rule

To divide fractions, multiply by the reciprocal: $\frac{25}{14y^3} \div \frac{5}{28y^2} = \frac{25}{14y^3} \times \frac{28y^2}{5}$

Step2: Simplify numerators and denominators

Simplify constants: $\frac{25}{5}=5$, $\frac{28}{14}=2$. Simplify variables: $\frac{y^2}{y^3}=\frac{1}{y}$. Multiply results: $5\times2\times\frac{1}{y}=\frac{10}{y}$

Answer:

D. $\frac{10}{y}$