Basic Math Examples

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

Step 1

Find the common denominator.

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Step 1.1

Multiply $\frac{1}{4}$ by $\frac{3}{3}$ .

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

Step 1.2

Multiply $\frac{1}{4}$ by $\frac{3}{3}$ .

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

Step 1.3

Multiply $\frac{1}{2}$ by $\frac{6}{6}$ .

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

Step 1.4

Multiply $\frac{1}{2}$ by $\frac{6}{6}$ .

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

Step 1.5

Reorder the factors of $4 \cdot 3$ .

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

Step 1.6

Multiply $3$ by $4$ .

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

Step 1.7

Multiply $2$ by $6$ .

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

Step 2

Combine the numerators over the common denominator.

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

Step 3

Simplify by adding and subtracting.

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Step 3.1

Subtract $1$ from $3$ .

$\frac{2 + 6}{12}$

Step 3.2

Add $2$ and $6$ .

$\frac{8}{12}$

Step 4

Cancel the common factor of $8$ and $12$ .

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Step 4.1

Factor $4$ out of $8$ .

$\frac{4 (2)}{12}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $4$ out of $12$ .

$\frac{4 \cdot 2}{4 \cdot 3}$

Step 4.2.2

Cancel the common factor.

$\frac{4 \cdot 2}{4 \cdot 3}$

Step 4.2.3

Rewrite the expression.

$\frac{2}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$