Basic Math Examples

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

Step 1

To write

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

$\frac{2}{2}$ .

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

Step 2

To write

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

$\frac{5}{5}$ .

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

Step 3

Write each expression with a common denominator of

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

$1$ .

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Step 3.1

Multiply

$\frac{2}{5}$ by

$\frac{2}{2}$ .

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

Step 3.2

Multiply

$5$ by

$2$ .

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

Step 3.3

Multiply

$\frac{1}{2}$ by

$\frac{5}{5}$ .

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

Step 3.4

Multiply

$2$ by

$5$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$2$ by

$2$ .

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

Step 5.2

Add

$4$ and

$5$ .

$\frac{9}{10}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{10}$

Decimal Form:

$0.9$