Basic Math Examples

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

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

Step 1

To write

\frac{2}{5}

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

\frac{2}{2}

$\frac{2}{2}$ .

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

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

Step 2

Write each expression with a common denominator of

10

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

1

$1$ .

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Step 2.1

Multiply

\frac{2}{5}

$\frac{2}{5}$ by

\frac{2}{2}

$\frac{2}{2}$ .

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

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

Step 2.2

Multiply

5

$5$ by

2

$2$ .

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

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

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

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

Step 3

Combine the numerators over the common denominator.

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

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

Step 4

Simplify the numerator.

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Step 4.1

Multiply

2

$2$ by

2

$2$ .

\frac{3 + 4}{10}

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

Step 4.2

Add

3

$3$ and

4

$4$ .

\frac{7}{10}

$\frac{7}{10}$

\frac{7}{10}

$\frac{7}{10}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{7}{10}

$\frac{7}{10}$

Decimal Form:

0.7

$0.7$