Basic Math Examples

\frac{3}{4} - \frac{1}{6}

$\frac{3}{4} - \frac{1}{6}$

Step 1

To write

\frac{3}{4}

$\frac{3}{4}$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{3}{4} \cdot \frac{3}{3} - \frac{1}{6}

$\frac{3}{4} \cdot \frac{3}{3} - \frac{1}{6}$

Step 2

To write

- \frac{1}{6}

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

\frac{2}{2}

$\frac{2}{2}$ .

\frac{3}{4} \cdot \frac{3}{3} - \frac{1}{6} \cdot \frac{2}{2}

$\frac{3}{4} \cdot \frac{3}{3} - \frac{1}{6} \cdot \frac{2}{2}$

Step 3

Write each expression with a common denominator of

12

$12$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{3}{4}

$\frac{3}{4}$ by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{3 \cdot 3}{4 \cdot 3} - \frac{1}{6} \cdot \frac{2}{2}

$\frac{3 \cdot 3}{4 \cdot 3} - \frac{1}{6} \cdot \frac{2}{2}$

Step 3.2

Multiply

4

$4$ by

3

$3$ .

\frac{3 \cdot 3}{12} - \frac{1}{6} \cdot \frac{2}{2}

$\frac{3 \cdot 3}{12} - \frac{1}{6} \cdot \frac{2}{2}$

Step 3.3

Multiply

\frac{1}{6}

$\frac{1}{6}$ by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{3 \cdot 3}{12} - \frac{2}{6 \cdot 2}

$\frac{3 \cdot 3}{12} - \frac{2}{6 \cdot 2}$

Step 3.4

Multiply

6

$6$ by

2

$2$ .

\frac{3 \cdot 3}{12} - \frac{2}{12}

$\frac{3 \cdot 3}{12} - \frac{2}{12}$

\frac{3 \cdot 3}{12} - \frac{2}{12}

$\frac{3 \cdot 3}{12} - \frac{2}{12}$

Step 4

Combine the numerators over the common denominator.

\frac{3 \cdot 3 - 2}{12}

$\frac{3 \cdot 3 - 2}{12}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

3

$3$ by

3

$3$ .

\frac{9 - 2}{12}

$\frac{9 - 2}{12}$

Step 5.2

Subtract

2

$2$ from

9

$9$ .

\frac{7}{12}

$\frac{7}{12}$

\frac{7}{12}

$\frac{7}{12}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{7}{12}

$\frac{7}{12}$

Decimal Form:

0.58\overline{3}

$0.58\overline{3}$

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