Basic Math Examples

\frac{1}{5} - \frac{1}{15}

$\frac{1}{5} - \frac{1}{15}$

Step 1

To write

\frac{1}{5}

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

\frac{3}{3}

$\frac{3}{3}$ .

\frac{1}{5} \cdot \frac{3}{3} - \frac{1}{15}

$\frac{1}{5} \cdot \frac{3}{3} - \frac{1}{15}$

Step 2

Write each expression with a common denominator of

15

$15$ , 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{3}{3}

$\frac{3}{3}$ .

\frac{3}{5 \cdot 3} - \frac{1}{15}

$\frac{3}{5 \cdot 3} - \frac{1}{15}$

Step 2.2

Multiply

5

$5$ by

3

$3$ .

\frac{3}{15} - \frac{1}{15}

$\frac{3}{15} - \frac{1}{15}$

\frac{3}{15} - \frac{1}{15}

$\frac{3}{15} - \frac{1}{15}$

Step 3

Combine the numerators over the common denominator.

\frac{3 - 1}{15}

$\frac{3 - 1}{15}$

Step 4

Subtract

1

$1$ from

3

$3$ .

\frac{2}{15}

$\frac{2}{15}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{2}{15}

$\frac{2}{15}$

Decimal Form:

0.1 ¯ 3

$0.1\overline{3}$