Evaluate 1/3+3/4

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

Step 1

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

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

Step 2

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

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

Step 3

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

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

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

Multiply $3$ by $4$ .

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

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

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

Multiply $4$ by $3$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

Multiply $3$ by $3$ .

$\frac{4 + 9}{12}$

Add $4$ and $9$ .

$\frac{13}{12}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{13}{12}$

Decimal Form:

$1.08\overline{3}$

Mixed Number Form:

$1 \frac{1}{12}$