Evaluate (1/6)÷(3/7)+1/9

$\frac{1}{6} \div \frac{3}{7} + \frac{1}{9}$

Simplify each term.

To divide by a fraction, multiply by its reciprocal.

$\frac{1}{6} \cdot \frac{7}{3} + \frac{1}{9}$

Multiply $\frac{1}{6} \cdot \frac{7}{3}$ .

Multiply $\frac{1}{6}$ by $\frac{7}{3}$ .

$\frac{7}{6 \cdot 3} + \frac{1}{9}$

Multiply $6$ by $3$ .

$\frac{7}{18} + \frac{1}{9}$

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

$\frac{7}{18} + \frac{1}{9} \cdot \frac{2}{2}$

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

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

$\frac{7}{18} + \frac{2}{9 \cdot 2}$

Multiply $9$ by $2$ .

$\frac{7}{18} + \frac{2}{18}$

Simplify the expression.

Combine the numerators over the common denominator.

$\frac{7 + 2}{18}$

Add $7$ and $2$ .

$\frac{9}{18}$

Cancel the common factor of $9$ and $18$ .

Factor $9$ out of $9$ .

$\frac{9 (1)}{18}$

Cancel the common factors.

Factor $9$ out of $18$ .

$\frac{9 \cdot 1}{9 \cdot 2}$

Cancel the common factor.

$\frac{9 \cdot 1}{9 \cdot 2}$

Rewrite the expression.

$\frac{1}{2}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$