Question

current skill $ divide: \frac{\frac{-5}{9}}{\frac{-5}{8}} provide an answer as a simplified proper fraction or mixed number.

Explanation:

Step1: Recall fraction division rule

To divide two fractions, multiply the first fraction by the reciprocal of the second fraction. So, \(\frac{\frac{-5}{9}}{\frac{-5}{8}}=\frac{-5}{9}\times\frac{8}{-5}\).

Step2: Simplify the multiplication

The \(-5\) in the numerator and the \(-5\) in the denominator cancel out (since \(\frac{-5}{-5} = 1\)). Then we have \(\frac{1\times8}{9\times1}=\frac{8}{9}\).

Answer:

\(\frac{8}{9}\)