Find the Exact Value 3/4+1/6

$\frac{3}{4} + \frac{1}{6}$

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

$\frac{3}{4} \cdot \frac{3}{3} + \frac{1}{6}$

To write $\frac{1}{6}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

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

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

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

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

Multiply $4$ by $3$ .

$\frac{3 \cdot 3}{12} + \frac{1}{6} \cdot \frac{2}{2}$

Multiply $\frac{1}{6}$ by $\frac{2}{2}$ .

$\frac{3 \cdot 3}{12} + \frac{2}{6 \cdot 2}$

Multiply $6$ by $2$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $3$ by $3$ .

$\frac{9 + 2}{12}$

Add $9$ and $2$ .

$\frac{11}{12}$

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{12}$

Decimal Form:

$0.91\overline{6}$