Evaluate (2/5+1/2)-3/10

$(\frac{2}{5} + \frac{1}{2}) - \frac{3}{10}$

Step 1

Find the common denominator.

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

$\frac{2}{5} \cdot \frac{2}{2} + \frac{1}{2} - \frac{3}{10}$

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

$\frac{2 \cdot 2}{5 \cdot 2} + \frac{1}{2} - \frac{3}{10}$

Multiply $\frac{1}{2}$ by $\frac{5}{5}$ .

$\frac{2 \cdot 2}{5 \cdot 2} + \frac{1}{2} \cdot \frac{5}{5} - \frac{3}{10}$

Multiply $\frac{1}{2}$ by $\frac{5}{5}$ .

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

Reorder the factors of $5 \cdot 2$ .

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

Multiply $2$ by $5$ .

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

Multiply $2$ by $5$ .

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

Step 2

Combine the numerators over the common denominator.

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

Step 3

Simplify the expression.

Multiply $2$ by $2$ .

$\frac{4 + 5 - 3}{10}$

Add $4$ and $5$ .

$\frac{9 - 3}{10}$

Subtract $3$ from $9$ .

$\frac{6}{10}$

Step 4

Cancel the common factor of $6$ and $10$ .

Factor $2$ out of $6$ .

$\frac{2 (3)}{10}$

Cancel the common factors.

Factor $2$ out of $10$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{3}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{5}$

Decimal Form:

$0.6$