Divide. Simplify if possible.
-$$\frac { 3 y - 3 } { y } \div \frac { 5 y - 5 } { 8 y ^ { 2 } }$$
A) $\frac { 24 y ^ { 3 } - 24 y ^ { 2 } } { 5 y ^ { 2 } - 5 y }$
B) $\frac { 5 } { 24 y }$
C) $\frac { 24 y } { 5 }$
D) $\frac { 15 y ^ { 2 } + 30 y + 15 } { 8 y ^ { 3 } }$

Question

Quizplus · Accepted Answer

To solve this division problem, we first rewrite it as a multiplication by the reciprocal of the second fraction: $\frac { 3 y - 3 } { y } \times \frac { 8 y ^ { 2 } }{ 5 y - 5 }$. Factoring out the common factors in the numerators and denominators gives us $\frac { 3(y - 1) } { y } \times \frac { 8y^2 }{ 5(y - 1) }$. Simplifying this expression by canceling out the common terms $y - 1$ and simplifying further gives us $\frac { 24y } { 5 }$, which is choice C.

Divide Simplify If Possible 3y−3y÷5y−58y2\frac { 3 y - 3 } { y } \div \frac { 5 y - 5 } { 8 y ^ { 2 } }y3y−3​÷8y25y−5​

Divide Simplify If Possible $\frac { 3 y - 3 } { y } \div \frac { 5 y - 5 } { 8 y ^ { 2 } }$