Basic Math Examples

$\frac{1}{6} - \frac{1}{10}$

Step 1

To write

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

$\frac{5}{5}$ .

$\frac{1}{6} \cdot \frac{5}{5} - \frac{1}{10}$

Step 2

To write

$- \frac{1}{10}$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

$\frac{1}{6} \cdot \frac{5}{5} - \frac{1}{10} \cdot \frac{3}{3}$

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

$\frac{1}{6}$ by

$\frac{5}{5}$ .

$\frac{5}{6 \cdot 5} - \frac{1}{10} \cdot \frac{3}{3}$

Step 3.2

Multiply

$6$ by

$5$ .

$\frac{5}{30} - \frac{1}{10} \cdot \frac{3}{3}$

Step 3.3

Multiply

$\frac{1}{10}$ by

$\frac{3}{3}$ .

$\frac{5}{30} - \frac{3}{10 \cdot 3}$

Step 3.4

Multiply

$10$ by

$3$ .

$\frac{5}{30} - \frac{3}{30}$

Step 4

Simplify the expression.

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Step 4.1

Combine the numerators over the common denominator.

$\frac{5 - 3}{30}$

Step 4.2

Subtract

$3$ from

$5$ .

$\frac{2}{30}$

Step 5

Cancel the common factor of

$2$ and

$30$ .

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Step 5.1

Factor

$2$ out of

$2$ .

$\frac{2 (1)}{30}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor

$2$ out of

$30$ .

$\frac{2 \cdot 1}{2 \cdot 15}$

Step 5.2.2

Cancel the common factor.

$\frac{2 \cdot 1}{2 \cdot 15}$

Step 5.2.3

Rewrite the expression.

$\frac{1}{15}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{15}$

Decimal Form:

$0.0\overline{6}$