Divide and simplify.
-$$\frac { 4 } { 3 x } \div \frac { 16 - 4 x } { 48 - 12 x }$$
A) $\frac { 4 } { x }$
B) $4 x$
C) $- \frac { 4 } { x }$
D) $\frac { x } { 4 }$

Question

Quizplus · Accepted Answer

Dividing fractions is equivalent to multiplying by the reciprocal of the divisor. Thus, $\frac { 4 } { 3 x } \div \frac { 16 - 4 x } { 48 - 12 x }$ becomes $\frac { 4 } { 3 x } \times \frac { 48 - 12 x } { 16 - 4 x }$. Factoring out the common factors, we get $\frac { 4 } { 3 x } \times \frac { 12(4 - x) } { 4(4 - x) }$. Simplifying, we get $\frac { 4 } { x }$.

Divide and Simplify 43x÷16−4x48−12x\frac { 4 } { 3 x } \div \frac { 16 - 4 x } { 48 - 12 x }3x4​÷48−12x16−4x​

Divide and Simplify $\frac { 4 } { 3 x } \div \frac { 16 - 4 x } { 48 - 12 x }$