Basic Math Examples

\frac{1}{5} + \frac{9}{10}

$\frac{1}{5} + \frac{9}{10}$

Step 1

To write

\frac{1}{5}

$\frac{1}{5}$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{1}{5} \cdot \frac{2}{2} + \frac{9}{10}

$\frac{1}{5} \cdot \frac{2}{2} + \frac{9}{10}$

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{1}{5}

$\frac{1}{5}$ by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{2}{5 \cdot 2} + \frac{9}{10}

$\frac{2}{5 \cdot 2} + \frac{9}{10}$

Step 2.2

Multiply

5

$5$ by

2

$2$ .

\frac{2}{10} + \frac{9}{10}

$\frac{2}{10} + \frac{9}{10}$

\frac{2}{10} + \frac{9}{10}

$\frac{2}{10} + \frac{9}{10}$

Step 3

Combine the numerators over the common denominator.

\frac{2 + 9}{10}

$\frac{2 + 9}{10}$

Step 4

Add

2

$2$ and

9

$9$ .

\frac{11}{10}

$\frac{11}{10}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{11}{10}

$\frac{11}{10}$

Decimal Form:

1.1

$1.1$

Mixed Number Form:

1 \frac{1}{10}

$1 \frac{1}{10}$