Evaluate 2/3-3/4

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

Step 1

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

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

Step 2

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

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

Step 3

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

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

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

Multiply $3$ by $4$ .

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

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

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

Multiply $4$ by $3$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

Multiply $2$ by $4$ .

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

Multiply $- 3$ by $3$ .

$\frac{8 - 9}{12}$

Subtract $9$ from $8$ .

$\frac{- 1}{12}$

Step 6

Move the negative in front of the fraction.

$- \frac{1}{12}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{12}$

Decimal Form:

$- 0.08\overline{3}$