Use the order of operations to simplify the expression.
-$\frac { 1 } { 3 } \cdot \left( 7 - \frac { 1 } { 2 } \right) + 9$
A) $\frac { 65 } { 6 }$
B) $\frac { 31 } { 2 }$
C) $\frac { 11 } { 3 }$
D) $\frac { 67 } { 6 }$

Question

Quizplus · Accepted Answer

First, simplify inside the parentheses: $7 - \frac{1}{2} = \frac{14}{2} - \frac{1}{2} = \frac{13}{2}$. Then multiply by $\frac{1}{3}$: $\frac{1}{3} \cdot \frac{13}{2} = \frac{13}{6}$. Finally, add 9: $\frac{13}{6} + 9 = \frac{13}{6} + \frac{54}{6} = \frac{67}{6}$.

Use the Order of Operations to Simplify the Expression 13⋅(7−12)+9\frac { 1 } { 3 } \cdot \left( 7 - \frac { 1 } { 2 } \right) + 931​⋅(7−21​)+9

Use the Order of Operations to Simplify the Expression $\frac { 1 } { 3 } \cdot \left( 7 - \frac { 1 } { 2 } \right) + 9$