Evaluate 3/4-1/6

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

Step 1

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

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

Step 2

To write $- \frac{1}{6}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

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

Step 3

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

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

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

Multiply $4$ by $3$ .

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

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

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

Multiply $6$ by $2$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

Multiply $3$ by $3$ .

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

Subtract $2$ from $9$ .

$\frac{7}{12}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{12}$

Decimal Form:

$0.58\overline{3}$