Evaluate 3/5-2/3-(-8/15)

$\frac{3}{5} - \frac{2}{3} - (- \frac{8}{15})$

Step 1

Multiply $- (- \frac{8}{15})$ .

Multiply $- 1$ by $- 1$ .

$\frac{3}{5} - \frac{2}{3} + 1 (\frac{8}{15})$

Multiply $\frac{8}{15}$ by $1$ .

$\frac{3}{5} - \frac{2}{3} + \frac{8}{15}$

Step 2

Find the common denominator.

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

$\frac{3}{5} \cdot \frac{3}{3} - \frac{2}{3} + \frac{8}{15}$

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

$\frac{3 \cdot 3}{5 \cdot 3} - \frac{2}{3} + \frac{8}{15}$

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

$\frac{3 \cdot 3}{5 \cdot 3} - (\frac{2}{3} \cdot \frac{5}{5}) + \frac{8}{15}$

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

$\frac{3 \cdot 3}{5 \cdot 3} - \frac{2 \cdot 5}{3 \cdot 5} + \frac{8}{15}$

Reorder the factors of $5 \cdot 3$ .

$\frac{3 \cdot 3}{3 \cdot 5} - \frac{2 \cdot 5}{3 \cdot 5} + \frac{8}{15}$

Multiply $3$ by $5$ .

$\frac{3 \cdot 3}{15} - \frac{2 \cdot 5}{3 \cdot 5} + \frac{8}{15}$

Multiply $3$ by $5$ .

$\frac{3 \cdot 3}{15} - \frac{2 \cdot 5}{15} + \frac{8}{15}$

Step 3

Combine the numerators over the common denominator.

$\frac{3 \cdot 3 - 2 \cdot 5 + 8}{15}$

Step 4

Simplify each term.

Multiply $3$ by $3$ .

$\frac{9 - 2 \cdot 5 + 8}{15}$

Multiply $- 2$ by $5$ .

$\frac{9 - 10 + 8}{15}$

Step 5

Simplify by adding and subtracting.

Subtract $10$ from $9$ .

$\frac{- 1 + 8}{15}$

Add $- 1$ and $8$ .

$\frac{7}{15}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{15}$

Decimal Form:

$0.4\overline{6}$