Basic Math Examples

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

Step 1

To write

$\frac{1}{2}$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

$\frac{1}{2} \cdot \frac{5}{5} - \frac{2}{5}$

Step 2

To write

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

$\frac{2}{2}$ .

$\frac{1}{2} \cdot \frac{5}{5} - \frac{2}{5} \cdot \frac{2}{2}$

Step 3

Write each expression with a common denominator of

$10$ , by multiplying each by an appropriate factor of

$1$ .

Tap for more steps...

Step 3.1

Multiply

$\frac{1}{2}$ by

$\frac{5}{5}$ .

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

Step 3.2

Multiply

$2$ by

$5$ .

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

Step 3.3

Multiply

$\frac{2}{5}$ by

$\frac{2}{2}$ .

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

Step 3.4

Multiply

$5$ by

$2$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

Tap for more steps...

Step 5.1

Multiply

$- 2$ by

$2$ .

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

Step 5.2

Subtract

$4$ from

$5$ .

$\frac{1}{10}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{10}$

Decimal Form:

$0.1$