Basic Math Examples

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

Step 1

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

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

Step 2

Write each expression with a common denominator of $10$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

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

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

Step 2.2

Multiply $5$ by $2$ .

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

Step 3

Combine the numerators over the common denominator.

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

Step 4

Simplify the numerator.

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Step 4.1

Multiply $2$ by $2$ .

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

Step 4.2

Add $3$ and $4$ .

$\frac{7}{10}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{10}$

Decimal Form:

$0.7$