Evaluate 7/10+(-3/5)

$\frac{7}{10} + (- \frac{3}{5})$

Step 1

Remove parentheses.

$\frac{7}{10} - \frac{3}{5}$

Step 2

To write $- \frac{3}{5}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{7}{10} - \frac{3}{5} \cdot \frac{2}{2}$

Step 3

Write each expression with a common denominator of $10$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{3}{5}$ by $\frac{2}{2}$ .

$\frac{7}{10} - \frac{3 \cdot 2}{5 \cdot 2}$

Multiply $5$ by $2$ .

$\frac{7}{10} - \frac{3 \cdot 2}{10}$

Step 4

Combine the numerators over the common denominator.

$\frac{7 - 3 \cdot 2}{10}$

Step 5

Simplify the numerator.

Multiply $- 3$ by $2$ .

$\frac{7 - 6}{10}$

Subtract $6$ from $7$ .

$\frac{1}{10}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{10}$

Decimal Form:

$0.1$