Question

Evaluate the expression shown below and write your answer as a fraction or mixed number in simplest form.
minus, start fraction, 8, divided by, 5, end fraction, minus, left parenthesis, minus, one fifth, right parenthesis
− 8/5−(− 1/5 )

Answer 1

To evaluate the expression \(-\frac{8}{5} - \left(-\frac{1}{5}\right)\), let's break it down step by step.

1. Simplify the double negative:
\[
-\left(-\frac{1}{5}\right) = \frac{1}{5}
\]

2. Now, the expression becomes:
\[
-\frac{8}{5} + \frac{1}{5}
\]

3. To combine the fractions, we need a common denominator. Both fractions already have a denominator of 5. So, we can combine them as follows:
\[
-\frac{8}{5} + \frac{1}{5} = \frac{-8 + 1}{5} = \frac{-7}{5}
\]

The final answer is \(-\frac{7}{5}\), which can also be expressed as a mixed number:
\[
-1 \frac{2}{5}
\]

Thus, the simplest form of the answer is:

\[
-\frac{7}{5} \text{ or } -1 \frac{2}{5}
\]