Basic Math Examples

\frac{1}{30} - \frac{4}{6}

$\frac{1}{30} - \frac{4}{6}$

Step 1

Cancel the common factor of

4

$4$ and

6

$6$ .

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Step 1.1

Factor

2

$2$ out of

4

$4$ .

\frac{1}{30} - \frac{2 (2)}{6}

$\frac{1}{30} - \frac{2 (2)}{6}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

2

$2$ out of

6

$6$ .

\frac{1}{30} - \frac{2 \cdot 2}{2 \cdot 3}

$\frac{1}{30} - \frac{2 \cdot 2}{2 \cdot 3}$

Step 1.2.2

Cancel the common factor.

$\frac{1}{30} - \frac{2 \cdot 2}{2 \cdot 3}$

Step 1.2.3

Rewrite the expression.

$\frac{1}{30} - \frac{2}{3}$

Step 2

To write

$- \frac{2}{3}$ as a fraction with a common denominator, multiply by

$\frac{10}{10}$ .

$\frac{1}{30} - \frac{2}{3} \cdot \frac{10}{10}$

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

$\frac{2}{3}$ by

$\frac{10}{10}$ .

$\frac{1}{30} - \frac{2 \cdot 10}{3 \cdot 10}$

Step 3.2

Multiply

$3$ by

$10$ .

$\frac{1}{30} - \frac{2 \cdot 10}{30}$

Step 4

Combine the numerators over the common denominator.

$\frac{1 - 2 \cdot 10}{30}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$- 2$ by

$10$ .

$\frac{1 - 20}{30}$

Step 5.2

Subtract

$20$ from

$1$ .

$\frac{- 19}{30}$

Step 6

Move the negative in front of the fraction.

$- \frac{19}{30}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{19}{30}$

Decimal Form:

$- 0.6\overline{3}$