Simplify the complex fraction.
-$\frac { \frac { 1 } { 3 } - \frac { 1 } { 6 } } { \frac { 2 } { 3 } + \frac { 3 } { 4 } }$
A) $- \frac { 17 } { 2 }$
B) $\frac { 2 } { 17 }$
C) $\frac { 17 } { 2 }$
D) $- \frac { 2 } { 17 }$

Question

Quizplus · Accepted Answer

First, simplify the numerator and the denominator separately. In the numerator, $\frac{1}{3} - \frac{1}{6} = \frac{2}{6} - \frac{1}{6} = \frac{1}{6}$. In the denominator, $\frac{2}{3} + \frac{3}{4} = \frac{8}{12} + \frac{9}{12} = \frac{17}{12}$. Then, divide the numerator by the denominator: $\frac{1}{6} \div \frac{17}{12} = \frac{1}{6} \times \frac{12}{17} = \frac{2}{17}$.

Simplify the Complex Fraction 13−1623+34\frac { \frac { 1 } { 3 } - \frac { 1 } { 6 } } { \frac { 2 } { 3 } + \frac { 3 } { 4 } }32​+43​31​−61​​

Simplify the Complex Fraction $\frac { \frac { 1 } { 3 } - \frac { 1 } { 6 } } { \frac { 2 } { 3 } + \frac { 3 } { 4 } }$