Simplify the complex fraction.
-$\frac{\frac{1}{8}-\frac{1}{10}}{\frac{1}{8}+\frac{1}{10}}$

A) -1
B) 0
C) $\frac{1}{9}$
D) -9

Question

Simplify the complex fraction.
-$\frac{\frac{1}{8}-\frac{1}{10}}{\frac{1}{8}+\frac{1}{10}}$

A) -1
B) 0
C) $\frac{1}{9}$
D) -9

Quizplus · Accepted Answer

To simplify the given complex fraction, first simplify the numerator and the denominator separately. The numerator is $\frac{1}{8}-\frac{1}{10}$, which can be simplified to $\frac{5-4}{40} = \frac{1}{40}$ by finding a common denominator. The denominator is $\frac{1}{8}+\frac{1}{10}$, which simplifies to $\frac{5+4}{40} = \frac{9}{40}$ using the same method. Thus, the entire fraction simplifies to $\frac{\frac{1}{40}}{\frac{9}{40}} = \frac{1}{9}$, making the correct answer $\frac{1}{9}$.

Simplify the Complex Fraction 18−11018+110\frac{\frac{1}{8}-\frac{1}{10}}{\frac{1}{8}+\frac{1}{10}}81​+101​81​−101​​ A) -1 B) 0 C) 19\frac{1}{9}91​ D) -9

Simplify the Complex Fraction $\frac{\frac{1}{8}-\frac{1}{10}}{\frac{1}{8}+\frac{1}{10}}$ A) -1
B) 0
C) $\frac{1}{9}$ D) -9