Simplify the complex fraction.
-$$\frac { 9 + \frac { 3 } { x } } { \frac { x } { 4 } + \frac { 1 } { 12 } }$$
A) 1
B) $\frac { 36 } { x }$
C) 36
D) $\frac { \mathrm { x } } { 36 }$

Question

Quizplus · Accepted Answer

To simplify the complex fraction, first find a common denominator for the fractions in the numerator and the denominator. The numerator becomes $\frac{9x + 3}{x}$ and the denominator becomes $\frac{3x + 1}{12}$. Simplifying $\frac{\frac{9x + 3}{x}}{\frac{3x + 1}{12}}$ results in $\frac{12(9x + 3)}{x(3x + 1)}$. Simplifying further, we get $\frac{36}{x}$.

Simplify the Complex Fraction 9+3xx4+112\frac { 9 + \frac { 3 } { x } } { \frac { x } { 4 } + \frac { 1 } { 12 } }4x​+121​9+x3​​

Simplify the Complex Fraction $\frac { 9 + \frac { 3 } { x } } { \frac { x } { 4 } + \frac { 1 } { 12 } }$