Basic Math Examples

$\frac{1}{5} - \frac{1}{6}$

Step 1

To write

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

$\frac{6}{6}$ .

$\frac{1}{5} \cdot \frac{6}{6} - \frac{1}{6}$

Step 2

To write

$- \frac{1}{6}$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

$\frac{1}{5} \cdot \frac{6}{6} - \frac{1}{6} \cdot \frac{5}{5}$

Step 3

Write each expression with a common denominator of

$30$ , by multiplying each by an appropriate factor of

$1$ .

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Step 3.1

Multiply

$\frac{1}{5}$ by

$\frac{6}{6}$ .

$\frac{6}{5 \cdot 6} - \frac{1}{6} \cdot \frac{5}{5}$

Step 3.2

Multiply

$5$ by

$6$ .

$\frac{6}{30} - \frac{1}{6} \cdot \frac{5}{5}$

Step 3.3

Multiply

$\frac{1}{6}$ by

$\frac{5}{5}$ .

$\frac{6}{30} - \frac{5}{6 \cdot 5}$

Step 3.4

Multiply

$6$ by

$5$ .

$\frac{6}{30} - \frac{5}{30}$

Step 4

Combine the numerators over the common denominator.

$\frac{6 - 5}{30}$

Step 5

Subtract

$5$ from

$6$ .

$\frac{1}{30}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{30}$

Decimal Form:

$0.0\overline{3}$