Basic Math Examples

\frac{1}{9} - \frac{1}{5}

$\frac{1}{9} - \frac{1}{5}$

Step 1

To write

\frac{1}{9}

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

\frac{5}{5}

$\frac{5}{5}$ .

\frac{1}{9} \cdot \frac{5}{5} - \frac{1}{5}

$\frac{1}{9} \cdot \frac{5}{5} - \frac{1}{5}$

Step 2

To write

- \frac{1}{5}

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

\frac{9}{9}

$\frac{9}{9}$ .

\frac{1}{9} \cdot \frac{5}{5} - \frac{1}{5} \cdot \frac{9}{9}

$\frac{1}{9} \cdot \frac{5}{5} - \frac{1}{5} \cdot \frac{9}{9}$

Step 3

Write each expression with a common denominator of

45

$45$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{1}{9}

$\frac{1}{9}$ by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{5}{9 \cdot 5} - \frac{1}{5} \cdot \frac{9}{9}

$\frac{5}{9 \cdot 5} - \frac{1}{5} \cdot \frac{9}{9}$

Step 3.2

Multiply

9

$9$ by

5

$5$ .

\frac{5}{45} - \frac{1}{5} \cdot \frac{9}{9}

$\frac{5}{45} - \frac{1}{5} \cdot \frac{9}{9}$

Step 3.3

Multiply

\frac{1}{5}

$\frac{1}{5}$ by

\frac{9}{9}

$\frac{9}{9}$ .

\frac{5}{45} - \frac{9}{5 \cdot 9}

$\frac{5}{45} - \frac{9}{5 \cdot 9}$

Step 3.4

Multiply

5

$5$ by

9

$9$ .

\frac{5}{45} - \frac{9}{45}

$\frac{5}{45} - \frac{9}{45}$

\frac{5}{45} - \frac{9}{45}

$\frac{5}{45} - \frac{9}{45}$

Step 4

Combine the numerators over the common denominator.

\frac{5 - 9}{45}

$\frac{5 - 9}{45}$

Step 5

Subtract

9

$9$ from

5

$5$ .

\frac{- 4}{45}

$\frac{- 4}{45}$

Step 6

Move the negative in front of the fraction.

- \frac{4}{45}

$- \frac{4}{45}$

Step 7

The result can be shown in multiple forms.

Exact Form:

- \frac{4}{45}

$- \frac{4}{45}$

Decimal Form:

- 0.0\overline{8}

$- 0.0\overline{8}$