Evaluate 2/3+1/12

$\frac{2}{3} + \frac{1}{12}$

Step 1

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

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

Step 2

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

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

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

Multiply $3$ by $4$ .

$\frac{2 \cdot 4}{12} + \frac{1}{12}$

Step 3

Combine the numerators over the common denominator.

$\frac{2 \cdot 4 + 1}{12}$

Step 4

Simplify the numerator.

Multiply $2$ by $4$ .

$\frac{8 + 1}{12}$

Add $8$ and $1$ .

$\frac{9}{12}$

Step 5

Cancel the common factor of $9$ and $12$ .

Factor $3$ out of $9$ .

$\frac{3 (3)}{12}$

Cancel the common factors.

Factor $3$ out of $12$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{3}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{4}$

Decimal Form:

$0.75$