Simplify 1/2+2/3*5/12

$\frac{1}{2} + \frac{2}{3} \cdot \frac{5}{12}$

Simplify each term.

Cancel the common factor of $2$ .

Factor $2$ out of $12$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Multiply $\frac{1}{3}$ by $\frac{5}{6}$ .

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

Multiply $3$ by $6$ .

$\frac{1}{2} + \frac{5}{18}$

To write $\frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$\frac{1}{2} \cdot \frac{9}{9} + \frac{5}{18}$

Write each expression with a common denominator of $18$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{2}$ by $\frac{9}{9}$ .

$\frac{9}{2 \cdot 9} + \frac{5}{18}$

Multiply $2$ by $9$ .

$\frac{9}{18} + \frac{5}{18}$

Simplify the expression.

Combine the numerators over the common denominator.

$\frac{9 + 5}{18}$

Add $9$ and $5$ .

$\frac{14}{18}$

Cancel the common factor of $14$ and $18$ .

Factor $2$ out of $14$ .

$\frac{2 (7)}{18}$

Cancel the common factors.

Factor $2$ out of $18$ .

$\frac{2 \cdot 7}{2 \cdot 9}$

Cancel the common factor.

$\frac{2 \cdot 7}{2 \cdot 9}$

Rewrite the expression.

$\frac{7}{9}$

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{9}$

Decimal Form:

$0.\overline{7}$