Chapter 1.5, Problem 21P

Find each sum.

$-\frac{1}{5}+\frac{7}{10}$

To determine

To find: The sum of the expression $-\frac{1}{5}+\frac{7}{10}$ .

Answer to Problem 21P

The sum of the expression $-\frac{1}{5}+\frac{7}{10}$ is $\frac{1}{2}$ .

Explanation of Solution

Given:

The expression is $-\frac{1}{5}+\frac{7}{10}$ .

Calculation:

Solve $-\frac{1}{5}+\frac{7}{10}$ as follows:

  $\begin{array}{c}-\frac{1}{5}+\frac{7}{10}=-\frac{1}{5}\times \frac{2}{2}+\frac{7}{10}\\ =\frac{-2+7}{10}\\ =\frac{5}{10}\\ =\frac{1}{2}\end{array}$

Thus, the sum of the expression $-\frac{1}{5}+\frac{7}{10}$ is $\frac{1}{2}$ .