Evaluate 1-2/3+1/5

$1 - \frac{2}{3} + \frac{1}{5}$

Find the common denominator.

Write $1$ as a fraction with denominator $1$ .

$\frac{1}{1} - \frac{2}{3} + \frac{1}{5}$

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

$\frac{1}{1} \cdot \frac{15}{15} - \frac{2}{3} + \frac{1}{5}$

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

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

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

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

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

$\frac{15}{15} - \frac{2 \cdot 5}{3 \cdot 5} + \frac{1}{5}$

Multiply $\frac{1}{5}$ by $\frac{3}{3}$ .

$\frac{15}{15} - \frac{2 \cdot 5}{3 \cdot 5} + \frac{1}{5} \cdot \frac{3}{3}$

Multiply $\frac{1}{5}$ by $\frac{3}{3}$ .

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

Multiply $3$ by $5$ .

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

Reorder the factors of $5 \cdot 3$ .

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

Multiply $3$ by $5$ .

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

Combine the numerators over the common denominator.

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

Simplify the expression.

Multiply $- 2$ by $5$ .

$\frac{15 - 10 + 3}{15}$

Subtract $10$ from $15$ .

$\frac{5 + 3}{15}$

Add $5$ and $3$ .

$\frac{8}{15}$

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{15}$

Decimal Form:

$0.5\overline{3}$