Evaluate 3/4-6/12

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

Step 1

Cancel the common factor of $6$ and $12$ .

Factor $6$ out of $6$ .

$\frac{3}{4} - \frac{6 (1)}{12}$

Cancel the common factors.

Factor $6$ out of $12$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 2

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

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

Step 3

Write each expression with a common denominator of $4$ , by multiplying each by an appropriate factor of $1$ .

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

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

Multiply $2$ by $2$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Subtract $2$ from $3$ .

$\frac{1}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$