Evaluate 1/6+2/3

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

Step 1

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

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

Step 2

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

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

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

Multiply $3$ by $2$ .

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

Step 3

Combine the numerators over the common denominator.

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

Step 4

Simplify the numerator.

Multiply $2$ by $2$ .

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

Add $1$ and $4$ .

$\frac{5}{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{6}$

Decimal Form:

$0.8\overline{3}$