Basic Math Examples

\frac{1}{4} - \frac{1}{12} + \frac{1}{8}

$\frac{1}{4} - \frac{1}{12} + \frac{1}{8}$

Step 1

Find the common denominator.

Tap for more steps...

Step 1.1

Multiply

\frac{1}{4}

$\frac{1}{4}$ by

\frac{6}{6}

$\frac{6}{6}$ .

\frac{1}{4} \cdot \frac{6}{6} - \frac{1}{12} + \frac{1}{8}

$\frac{1}{4} \cdot \frac{6}{6} - \frac{1}{12} + \frac{1}{8}$

Step 1.2

Multiply

\frac{1}{4}

$\frac{1}{4}$ by

\frac{6}{6}

$\frac{6}{6}$ .

\frac{6}{4 \cdot 6} - \frac{1}{12} + \frac{1}{8}

$\frac{6}{4 \cdot 6} - \frac{1}{12} + \frac{1}{8}$

Step 1.3

Multiply

\frac{1}{12}

$\frac{1}{12}$ by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{6}{4 \cdot 6} - (\frac{1}{12} \cdot \frac{2}{2}) + \frac{1}{8}

$\frac{6}{4 \cdot 6} - (\frac{1}{12} \cdot \frac{2}{2}) + \frac{1}{8}$

Step 1.4

Multiply

\frac{1}{12}

$\frac{1}{12}$ by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{6}{4 \cdot 6} - \frac{2}{12 \cdot 2} + \frac{1}{8}

$\frac{6}{4 \cdot 6} - \frac{2}{12 \cdot 2} + \frac{1}{8}$

Step 1.5

Multiply

\frac{1}{8}

$\frac{1}{8}$ by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{6}{4 \cdot 6} - \frac{2}{12 \cdot 2} + \frac{1}{8} \cdot \frac{3}{3}

$\frac{6}{4 \cdot 6} - \frac{2}{12 \cdot 2} + \frac{1}{8} \cdot \frac{3}{3}$

Step 1.6

Multiply

\frac{1}{8}

$\frac{1}{8}$ by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{6}{4 \cdot 6} - \frac{2}{12 \cdot 2} + \frac{3}{8 \cdot 3}

$\frac{6}{4 \cdot 6} - \frac{2}{12 \cdot 2} + \frac{3}{8 \cdot 3}$

Step 1.7

Multiply

4

$4$ by

6

$6$ .

\frac{6}{24} - \frac{2}{12 \cdot 2} + \frac{3}{8 \cdot 3}

$\frac{6}{24} - \frac{2}{12 \cdot 2} + \frac{3}{8 \cdot 3}$

Step 1.8

Reorder the factors of

12 \cdot 2

$12 \cdot 2$ .

\frac{6}{24} - \frac{2}{2 \cdot 12} + \frac{3}{8 \cdot 3}

$\frac{6}{24} - \frac{2}{2 \cdot 12} + \frac{3}{8 \cdot 3}$

Step 1.9

Multiply

2

$2$ by

12

$12$ .

\frac{6}{24} - \frac{2}{24} + \frac{3}{8 \cdot 3}

$\frac{6}{24} - \frac{2}{24} + \frac{3}{8 \cdot 3}$

Step 1.10

Reorder the factors of

8 \cdot 3

$8 \cdot 3$ .

\frac{6}{24} - \frac{2}{24} + \frac{3}{3 \cdot 8}

$\frac{6}{24} - \frac{2}{24} + \frac{3}{3 \cdot 8}$

Step 1.11

Multiply

3

$3$ by

8

$8$ .

\frac{6}{24} - \frac{2}{24} + \frac{3}{24}

$\frac{6}{24} - \frac{2}{24} + \frac{3}{24}$

\frac{6}{24} - \frac{2}{24} + \frac{3}{24}

$\frac{6}{24} - \frac{2}{24} + \frac{3}{24}$

Step 2

Combine the numerators over the common denominator.

\frac{6 - 2 + 3}{24}

$\frac{6 - 2 + 3}{24}$

Step 3

Simplify by adding and subtracting.

Tap for more steps...

Step 3.1

Subtract

2

$2$ from

6

$6$ .

\frac{4 + 3}{24}

$\frac{4 + 3}{24}$

Step 3.2

Add

4

$4$ and

3

$3$ .

\frac{7}{24}

$\frac{7}{24}$

\frac{7}{24}

$\frac{7}{24}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{7}{24}

$\frac{7}{24}$

Decimal Form:

0.291\overline{6}

$0.291\overline{6}$