Basic Math Examples

\frac{1}{2} + \frac{1}{12} - \frac{1}{4}

$\frac{1}{2} + \frac{1}{12} - \frac{1}{4}$

Step 1

Find the common denominator.

Tap for more steps...

Step 1.1

Multiply

\frac{1}{2}

$\frac{1}{2}$ by

\frac{6}{6}

$\frac{6}{6}$ .

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

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

Step 1.2

Multiply

\frac{1}{2}

$\frac{1}{2}$ by

\frac{6}{6}

$\frac{6}{6}$ .

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

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

Step 1.3

Multiply

\frac{1}{4}

$\frac{1}{4}$ by

\frac{3}{3}

$\frac{3}{3}$ .

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

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

Step 1.4

Multiply

\frac{1}{4}

$\frac{1}{4}$ by

\frac{3}{3}

$\frac{3}{3}$ .

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

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

Step 1.5

Multiply

2

$2$ by

6

$6$ .

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

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

Step 1.6

Reorder the factors of

4 \cdot 3

$4 \cdot 3$ .

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

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

Step 1.7

Multiply

3

$3$ by

4

$4$ .

\frac{6}{12} + \frac{1}{12} - \frac{3}{12}

$\frac{6}{12} + \frac{1}{12} - \frac{3}{12}$

\frac{6}{12} + \frac{1}{12} - \frac{3}{12}

$\frac{6}{12} + \frac{1}{12} - \frac{3}{12}$

Step 2

Combine the numerators over the common denominator.

\frac{6 + 1 - 3}{12}

$\frac{6 + 1 - 3}{12}$

Step 3

Simplify by adding and subtracting.

Tap for more steps...

Step 3.1

Add

6

$6$ and

1

$1$ .

\frac{7 - 3}{12}

$\frac{7 - 3}{12}$

Step 3.2

Subtract

3

$3$ from

7

$7$ .

\frac{4}{12}

$\frac{4}{12}$

\frac{4}{12}

$\frac{4}{12}$

Step 4

Cancel the common factor of

4

$4$ and

12

$12$ .

Tap for more steps...

Step 4.1

Factor

4

$4$ out of

4

$4$ .

\frac{4 (1)}{12}

$\frac{4 (1)}{12}$

Step 4.2

Cancel the common factors.

Tap for more steps...

Step 4.2.1

Factor

4

$4$ out of

12

$12$ .

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

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

Step 4.2.2

Cancel the common factor.

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

Step 4.2.3

Rewrite the expression.

$\frac{1}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{3}$

Decimal Form:

$0.\overline{3}$