Evaluate 3/2+(-6/5)

$\frac{3}{2} + (- \frac{6}{5})$

Step 1

Remove parentheses.

$\frac{3}{2} - \frac{6}{5}$

Step 2

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

$\frac{3}{2} \cdot \frac{5}{5} - \frac{6}{5}$

Step 3

To write $- \frac{6}{5}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{3}{2} \cdot \frac{5}{5} - \frac{6}{5} \cdot \frac{2}{2}$

Step 4

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

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

$\frac{3 \cdot 5}{2 \cdot 5} - \frac{6}{5} \cdot \frac{2}{2}$

Multiply $2$ by $5$ .

$\frac{3 \cdot 5}{10} - \frac{6}{5} \cdot \frac{2}{2}$

Multiply $\frac{6}{5}$ by $\frac{2}{2}$ .

$\frac{3 \cdot 5}{10} - \frac{6 \cdot 2}{5 \cdot 2}$

Multiply $5$ by $2$ .

$\frac{3 \cdot 5}{10} - \frac{6 \cdot 2}{10}$

Step 5

Combine the numerators over the common denominator.

$\frac{3 \cdot 5 - 6 \cdot 2}{10}$

Step 6

Simplify the numerator.

Multiply $3$ by $5$ .

$\frac{15 - 6 \cdot 2}{10}$

Multiply $- 6$ by $2$ .

$\frac{15 - 12}{10}$

Subtract $12$ from $15$ .

$\frac{3}{10}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{10}$

Decimal Form:

$0.3$