Evaluate (1/4+1/12)*1/3

$(\frac{1}{4} + \frac{1}{12}) \cdot \frac{1}{3}$

Step 1

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

$(\frac{1}{4} \cdot \frac{3}{3} + \frac{1}{12}) \cdot \frac{1}{3}$

Step 2

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

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

$(\frac{3}{4 \cdot 3} + \frac{1}{12}) \cdot \frac{1}{3}$

Multiply $4$ by $3$ .

$(\frac{3}{12} + \frac{1}{12}) \cdot \frac{1}{3}$

Step 3

Simplify the expression.

Combine the numerators over the common denominator.

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

Add $3$ and $1$ .

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

Step 4

Cancel the common factor of $4$ and $12$ .

Factor $4$ out of $4$ .

$\frac{4 (1)}{12} \cdot \frac{1}{3}$

Cancel the common factors.

Factor $4$ out of $12$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{3} \cdot \frac{1}{3}$

Step 5

Multiply $\frac{1}{3} \cdot \frac{1}{3}$ .

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

$\frac{1}{3 \cdot 3}$

Multiply $3$ by $3$ .

$\frac{1}{9}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{9}$

Decimal Form:

$0.\overline{1}$