Simplify.
-$$\frac { 4 + \frac { 1 } { 3 } } { 4 - \frac { 2 } { 9 } }$$
A) $\frac { 39 } { 17 }$

B) $\frac { 117 } { 68 }$

C) $\frac { 117 } { 34 }$

D) $\frac { 39 } { 34 }$

Question

Simplify.
-$$\frac { 4 + \frac { 1 } { 3 } } { 4 - \frac { 2 } { 9 } }$$
A) $\frac { 39 } { 17 }$

B) $\frac { 117 } { 68 }$

C) $\frac { 117 } { 34 }$

D) $\frac { 39 } { 34 }$

Quizplus · Accepted Answer

To simplify, we first need to get a common denominator in the numerator. We can do this by converting $4$ to $\frac{12}{3}$. Then we can combine the fractions in the numerator and simplify: 
\begin{align*}
\frac { 4 + \frac { 1 } { 3 } } { 4 - \frac { 2 } { 9 } } &= \frac{\frac{12}{3} + \frac{1}{3}}{\frac{36}{9} - \frac{2}{9}} \
&= \frac{\frac{13}{3}}{\frac{34}{9}} \
&= \frac{13}{3} \cdot \frac{9}{34} \
&= \frac{39}{34}.
\end{align*}
Therefore, the answer is choice D.

Simplify - 4+134−29\frac { 4 + \frac { 1 } { 3 } } { 4 - \frac { 2 } { 9 } }4−92​4+31​​

Simplify
- $\frac { 4 + \frac { 1 } { 3 } } { 4 - \frac { 2 } { 9 } }$