Evaluate the expression.
-$\frac { 11 } { 5 } \div \left( \frac { 3 } { 4 } + \frac { 3 } { 16 } \right)$
A) $\frac { 16 } { 75 }$
B) $\frac { 176 } { 75 }$
C) $\frac { 22 } { 9 }$
D) $\frac { 44 } { 15 }$

Question

Quizplus · Accepted Answer

First, add the fractions inside the parentheses: $\frac{3}{4} + \frac{3}{16} = \frac{12}{16} + \frac{3}{16} = \frac{15}{16}$. Then, divide $\frac{11}{5}$ by $\frac{15}{16}$, which is the same as multiplying $\frac{11}{5}$ by the reciprocal of $\frac{15}{16}$, resulting in $\frac{11}{5} \times \frac{16}{15} = \frac{176}{75}$.

Evaluate the Expression 115÷(34+316)\frac { 11 } { 5 } \div \left( \frac { 3 } { 4 } + \frac { 3 } { 16 } \right)511​÷(43​+163​)

Evaluate the Expression $\frac { 11 } { 5 } \div \left( \frac { 3 } { 4 } + \frac { 3 } { 16 } \right)$