Simplify the complex fraction.
-$\frac { \frac { 1 } { 8 } - \frac { 1 } { 9 } } { \frac { 1 } { 16 } - \frac { 1 } { 18 } }$
A) $\frac { 1 } { 2 }$
B) $- \frac { 1 } { 2 }$
C) $- 2$
D) 2

Question

Quizplus · Accepted Answer

First, simplify the numerator: $\frac{1}{8} - \frac{1}{9} = \frac{9-8}{72} = \frac{1}{72}$. Then, simplify the denominator: $\frac{1}{16} - \frac{1}{18} = \frac{18-16}{288} = \frac{2}{288} = \frac{1}{144}$. The complex fraction becomes $\frac{\frac{1}{72}}{\frac{1}{144}} = \frac{1}{72} \times \frac{144}{1} = 2$.

Simplify the Complex Fraction 18−19116−118\frac { \frac { 1 } { 8 } - \frac { 1 } { 9 } } { \frac { 1 } { 16 } - \frac { 1 } { 18 } }161​−181​81​−91​​

Simplify the Complex Fraction $\frac { \frac { 1 } { 8 } - \frac { 1 } { 9 } } { \frac { 1 } { 16 } - \frac { 1 } { 18 } }$