Divide the fractions below, and express the answer in reduced form. $\frac { 4 } { 5 } \div \frac { 3 } { 2 }$
A) $\frac { 4 } { 15 }$
B) $\frac { 8 } { 15 }$
C) $\frac { 8 } { 5 }$
D) none of these

Question

Quizplus · Accepted Answer

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of $\frac{3}{2}$ is $\frac{2}{3}$, so we have:  $$\frac { 4 } { 5 } \div \frac { 3 } { 2 }=\frac{4}{5}\cdot\frac{2}{3}=\frac{8}{15}$$ The fraction cannot be reduced further, so the answer is $\frac{8}{15}$, which corresponds to choice $\boxed{	extbf{(B)}}$.

Divide the Fractions Below, and Express the Answer in Reduced 45÷32\frac { 4 } { 5 } \div \frac { 3 } { 2 }54​÷23​

Divide the Fractions Below, and Express the Answer in Reduced $\frac { 4 } { 5 } \div \frac { 3 } { 2 }$