Basic Math Examples

\frac{3}{10} + \frac{3}{20}

$\frac{3}{10} + \frac{3}{20}$

Step 1

To write

\frac{3}{10}

$\frac{3}{10}$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{3}{10} \cdot \frac{2}{2} + \frac{3}{20}

$\frac{3}{10} \cdot \frac{2}{2} + \frac{3}{20}$

Step 2

Write each expression with a common denominator of

20

$20$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 2.1

Multiply

\frac{3}{10}

$\frac{3}{10}$ by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{3 \cdot 2}{10 \cdot 2} + \frac{3}{20}

$\frac{3 \cdot 2}{10 \cdot 2} + \frac{3}{20}$

Step 2.2

Multiply

10

$10$ by

2

$2$ .

\frac{3 \cdot 2}{20} + \frac{3}{20}

$\frac{3 \cdot 2}{20} + \frac{3}{20}$

\frac{3 \cdot 2}{20} + \frac{3}{20}

$\frac{3 \cdot 2}{20} + \frac{3}{20}$

Step 3

Combine the numerators over the common denominator.

\frac{3 \cdot 2 + 3}{20}

$\frac{3 \cdot 2 + 3}{20}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply

3

$3$ by

2

$2$ .

\frac{6 + 3}{20}

$\frac{6 + 3}{20}$

Step 4.2

Add

6

$6$ and

3

$3$ .

\frac{9}{20}

$\frac{9}{20}$

\frac{9}{20}

$\frac{9}{20}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{9}{20}

$\frac{9}{20}$

Decimal Form:

0.45

$0.45$