Evaluate 2/3+5/6*1/2

$\frac{2}{3} + \frac{5}{6} \cdot \frac{1}{2}$

Step 1

Multiply $\frac{5}{6} \cdot \frac{1}{2}$ .

Multiply $\frac{5}{6}$ by $\frac{1}{2}$ .

$\frac{2}{3} + \frac{5}{6 \cdot 2}$

Multiply $6$ by $2$ .

$\frac{2}{3} + \frac{5}{12}$

Step 2

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

$\frac{2}{3} \cdot \frac{4}{4} + \frac{5}{12}$

Step 3

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

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

$\frac{2 \cdot 4}{3 \cdot 4} + \frac{5}{12}$

Multiply $3$ by $4$ .

$\frac{2 \cdot 4}{12} + \frac{5}{12}$

Step 4

Combine the numerators over the common denominator.

$\frac{2 \cdot 4 + 5}{12}$

Step 5

Simplify the numerator.

Multiply $2$ by $4$ .

$\frac{8 + 5}{12}$

Add $8$ and $5$ .

$\frac{13}{12}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{13}{12}$

Decimal Form:

$1.08\overline{3}$

Mixed Number Form:

$1 \frac{1}{12}$