Divide and simplify.
-$\frac{7 p-7}{p} \div \frac{8 p-8}{5 p^{2}}$
A) $\frac{35 p}{8}$
B) $\frac{8}{35 p}$
C) $\frac{35 p^{3}-35 p^{2}}{8 p^{2}-8 p}$
D) $\frac{56 p^{2}+112 p+56}{5 p^{3}}$

Question

Quizplus · Accepted Answer

To divide the given fractions, we multiply the first fraction by the reciprocal of the second. Simplifying each fraction first, we get $\frac{7(p-1)}{p} \div \frac{8(p-1)}{5p^2}$. Taking the reciprocal of the second fraction and multiplying gives us $\frac{7(p-1)}{p} \times \frac{5p^2}{8(p-1)}$. The $(p-1)$ terms cancel out, and simplifying further gives $\frac{35p}{8}$.

Divide and Simplify 7p−7p÷8p−85p2\frac{7 p-7}{p} \div \frac{8 p-8}{5 p^{2}}p7p−7​÷5p28p−8​ A) 35p8\frac{35 p}{8}835p​

Divide and Simplify $\frac{7 p-7}{p} \div \frac{8 p-8}{5 p^{2}}$ A) $\frac{35 p}{8}$