Basic Math Examples

\frac{1}{4} - \frac{1}{9}

$\frac{1}{4} - \frac{1}{9}$

Step 1

To write

\frac{1}{4}

$\frac{1}{4}$ as a fraction with a common denominator, multiply by

\frac{9}{9}

$\frac{9}{9}$ .

\frac{1}{4} \cdot \frac{9}{9} - \frac{1}{9}

$\frac{1}{4} \cdot \frac{9}{9} - \frac{1}{9}$

Step 2

To write

- \frac{1}{9}

$- \frac{1}{9}$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{1}{4} \cdot \frac{9}{9} - \frac{1}{9} \cdot \frac{4}{4}

$\frac{1}{4} \cdot \frac{9}{9} - \frac{1}{9} \cdot \frac{4}{4}$

Step 3

Write each expression with a common denominator of

36

$36$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{1}{4}

$\frac{1}{4}$ by

\frac{9}{9}

$\frac{9}{9}$ .

\frac{9}{4 \cdot 9} - \frac{1}{9} \cdot \frac{4}{4}

$\frac{9}{4 \cdot 9} - \frac{1}{9} \cdot \frac{4}{4}$

Step 3.2

Multiply

4

$4$ by

9

$9$ .

\frac{9}{36} - \frac{1}{9} \cdot \frac{4}{4}

$\frac{9}{36} - \frac{1}{9} \cdot \frac{4}{4}$

Step 3.3

Multiply

\frac{1}{9}

$\frac{1}{9}$ by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{9}{36} - \frac{4}{9 \cdot 4}

$\frac{9}{36} - \frac{4}{9 \cdot 4}$

Step 3.4

Multiply

9

$9$ by

4

$4$ .

\frac{9}{36} - \frac{4}{36}

$\frac{9}{36} - \frac{4}{36}$

\frac{9}{36} - \frac{4}{36}

$\frac{9}{36} - \frac{4}{36}$

Step 4

Combine the numerators over the common denominator.

\frac{9 - 4}{36}

$\frac{9 - 4}{36}$

Step 5

Subtract

4

$4$ from

9

$9$ .

\frac{5}{36}

$\frac{5}{36}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{5}{36}

$\frac{5}{36}$

Decimal Form:

0.13 ¯ 8

$0.13\overline{8}$