Simplify.
-$- \frac { 19 } { 24 } + \frac { 4 } { 9 } - \left( - \frac { 1 } { 6 } \right) + \frac { 1 } { 3 }$
A) $- \frac { 13 } { 72 }$
B) $\frac { 11 } { 72 }$
C) $\frac { 101 } { 72 }$
D) $\frac { 11 } { 60 }$

Question

Quizplus · Accepted Answer

To simplify the expression, first find a common denominator for the fractions, which is 72. Convert each fraction: $-\frac{19}{24} = -\frac{57}{72}$, $\frac{4}{9} = \frac{32}{72}$, $-\left(-\frac{1}{6}\right) = \frac{1}{6} = \frac{12}{72}$, $\frac{1}{3} = \frac{24}{72}$. Adding these together gives $-\frac{57}{72} + \frac{32}{72} + \frac{12}{72} + \frac{24}{72} = \frac{11}{72}$.

Simplify - −1924+49−(−16)+13- \frac { 19 } { 24 } + \frac { 4 } { 9 } - \left( - \frac { 1 } { 6 } \right) + \frac { 1 } { 3 }−2419​+94​−(−61​)+31​

Simplify
- $- \frac { 19 } { 24 } + \frac { 4 } { 9 } - \left( - \frac { 1 } { 6 } \right) + \frac { 1 } { 3 }$