Divide and simplify.
-$\frac{6 p-6}{p} \div \frac{7 p-7}{8 p^{2}}$
A) $\frac{7}{48 p}$
B) $\frac{42 p^{2}+84 p+42}{8 p^{3}}$
C) $\frac{48 p}{7}$
D) $\frac{48 p^{3}-48 p^{2}}{7 p^{2}-7 p}$

Question

Quizplus · Accepted Answer

To solve this, first factor out the common terms and then simplify the division into multiplication by the reciprocal. $\frac{6 p-6}{p} \div \frac{7 p-7}{8 p^{2}}$ simplifies to $\frac{6(p-1)}{p} \cdot \frac{8p^{2}}{7(p-1)}$. Canceling out the common terms $p-1$ and simplifying gives $\frac{48 p}{7}$.

Divide and Simplify 6p−6p÷7p−78p2\frac{6 p-6}{p} \div \frac{7 p-7}{8 p^{2}}p6p−6​÷8p27p−7​ A) 748p\frac{7}{48 p}48p7​

Divide and Simplify $\frac{6 p-6}{p} \div \frac{7 p-7}{8 p^{2}}$ A) $\frac{7}{48 p}$