Find the Exact Value 2/3-1/4

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

To write $\frac{2}{3}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

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

To write $- \frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

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

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

Multiply $\frac{2}{3}$ by $\frac{4}{4}$ .

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

Multiply $3$ by $4$ .

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

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

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

Multiply $4$ by $3$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $2$ by $4$ .

$\frac{8 - 3}{12}$

Subtract $3$ from $8$ .

$\frac{5}{12}$

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{12}$

Decimal Form:

$0.41\overline{6}$