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

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

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

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Multiply $- 1$ by $- 1$ .

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

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

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

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

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

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

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

Write each expression with a common denominator of $15$ , by multiplying each by an appropriate factor of $1$ .

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

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

Multiply $5$ by $3$ .

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

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

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

Multiply $3$ by $5$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

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Multiply $3$ by $3$ .

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

Multiply $- 2$ by $5$ .

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

Subtract $10$ from $9$ .

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

Combine the numerators over the common denominator.

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

Add $- 1$ and $8$ .

$\frac{7}{15}$

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{15}$

Decimal Form:

$0.4\overline{6}$

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

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