Evaluate the expression.
-$\frac { 8 } { 9 } \div \left( \frac { 7 } { 5 } + \frac { 7 } { 10 } \right)$
A) $\frac { 40 } { 63 }$
B) $\frac { 80 } { 189 }$
C) $\frac { 10 } { 189 }$
D) $\frac { 40 } { 49 }$

Question

Quizplus · Accepted Answer

First, simplify the expression inside the parentheses: $\frac{7}{5} + \frac{7}{10} = \frac{14}{10} + \frac{7}{10} = \frac{21}{10}$. Then, divide $\frac{8}{9}$ by $\frac{21}{10}$ by multiplying $\frac{8}{9}$ by the reciprocal of $\frac{21}{10}$, which is $\frac{10}{21}$. This gives $\frac{8}{9} \times \frac{10}{21} = \frac{80}{189}$.

Evaluate the Expression 89÷(75+710)\frac { 8 } { 9 } \div \left( \frac { 7 } { 5 } + \frac { 7 } { 10 } \right)98​÷(57​+107​)

Evaluate the Expression $\frac { 8 } { 9 } \div \left( \frac { 7 } { 5 } + \frac { 7 } { 10 } \right)$