Simplify 1/2+1/3-1/4

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

Step 1

Find the common denominator.

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

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

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

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

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

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

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

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

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

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

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

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

Multiply $2$ by $6$ .

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

Multiply $3$ by $4$ .

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

Reorder the factors of $4 \cdot 3$ .

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

Multiply $3$ by $4$ .

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

Step 2

Combine the numerators over the common denominator.

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

Step 3

Simplify by adding and subtracting.

Add $6$ and $4$ .

$\frac{10 - 3}{12}$

Subtract $3$ from $10$ .

$\frac{7}{12}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{12}$

Decimal Form:

$0.58\overline{3}$