Basic Math Examples

\frac{1}{5} - \frac{1}{30}

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

Step 1

To write

\frac{1}{5}

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

\frac{6}{6}

$\frac{6}{6}$ .

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

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

Step 2

Write each expression with a common denominator of

30

$30$ , 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{6}{6}

$\frac{6}{6}$ .

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

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

Step 2.2

Multiply

5

$5$ by

6

$6$ .

\frac{6}{30} - \frac{1}{30}

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

\frac{6}{30} - \frac{1}{30}

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

Step 3

Simplify the expression.

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Step 3.1

Combine the numerators over the common denominator.

\frac{6 - 1}{30}

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

Step 3.2

Subtract

1

$1$ from

6

$6$ .

\frac{5}{30}

$\frac{5}{30}$

\frac{5}{30}

$\frac{5}{30}$

Step 4

Cancel the common factor of

5

$5$ and

30

$30$ .

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Step 4.1

Factor

5

$5$ out of

5

$5$ .

\frac{5 (1)}{30}

$\frac{5 (1)}{30}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor

5

$5$ out of

30

$30$ .

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

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

Step 4.2.2

Cancel the common factor.

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

Step 4.2.3

Rewrite the expression.

$\frac{1}{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{6}$

Decimal Form:

$0.1\overline{6}$