Basic Math Examples

\frac{1}{18} - \frac{1}{3}

$\frac{1}{18} - \frac{1}{3}$

Step 1

To write

- \frac{1}{3}

$- \frac{1}{3}$ as a fraction with a common denominator, multiply by

\frac{6}{6}

$\frac{6}{6}$ .

\frac{1}{18} - \frac{1}{3} \cdot \frac{6}{6}

$\frac{1}{18} - \frac{1}{3} \cdot \frac{6}{6}$

Step 2

Write each expression with a common denominator of

18

$18$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 2.1

Multiply

\frac{1}{3}

$\frac{1}{3}$ by

\frac{6}{6}

$\frac{6}{6}$ .

\frac{1}{18} - \frac{6}{3 \cdot 6}

$\frac{1}{18} - \frac{6}{3 \cdot 6}$

Step 2.2

Multiply

3

$3$ by

6

$6$ .

\frac{1}{18} - \frac{6}{18}

$\frac{1}{18} - \frac{6}{18}$

\frac{1}{18} - \frac{6}{18}

$\frac{1}{18} - \frac{6}{18}$

Step 3

Combine the numerators over the common denominator.

\frac{1 - 6}{18}

$\frac{1 - 6}{18}$

Step 4

Subtract

6

$6$ from

1

$1$ .

\frac{- 5}{18}

$\frac{- 5}{18}$

Step 5

Move the negative in front of the fraction.

- \frac{5}{18}

$- \frac{5}{18}$

Step 6

The result can be shown in multiple forms.

Exact Form:

- \frac{5}{18}

$- \frac{5}{18}$

Decimal Form:

- 0.2 ¯ 7

$- 0.2\overline{7}$