Simplify the following. $- \frac { 5 } { 11 } + \left( \frac { 1 } { 4 } \right) \div \left( - \frac { 1 } { 2 } \right)$
A) $\frac { 1 } { 22 }$
B) $- \frac { 21 } { 22 }$
C) $- \frac { 1 } { 22 }$
D) $\frac { 21 } { 22 }$
E) $\frac { 22 } { 21 }$

Question

Quizplus · Accepted Answer

To simplify the expression, first solve the division: $\frac{1}{4} \div (-\frac{1}{2}) = \frac{1}{4} \times (-2) = -\frac{1}{2}$. Then, add this result to $-\frac{5}{11}$: $-\frac{5}{11} + (-\frac{1}{2}) = -\frac{5}{11} - \frac{1}{2} = -\frac{10}{22} - \frac{11}{22} = -\frac{21}{22}$.

Simplify the Following −511+(14)÷(−12)- \frac { 5 } { 11 } + \left( \frac { 1 } { 4 } \right) \div \left( - \frac { 1 } { 2 } \right)−115​+(41​)÷(−21​)

Simplify the Following $- \frac { 5 } { 11 } + \left( \frac { 1 } { 4 } \right) \div \left( - \frac { 1 } { 2 } \right)$