Evaluate 5/12-1/9

$\frac{5}{12} - \frac{1}{9}$

To write $\frac{5}{12}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{5}{12} \cdot \frac{3}{3} - \frac{1}{9}$

To write $- \frac{1}{9}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{5}{12} \cdot \frac{3}{3} - \frac{1}{9} \cdot \frac{4}{4}$

Write each expression with a common denominator of $36$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{5}{12}$ by $\frac{3}{3}$ .

$\frac{5 \cdot 3}{12 \cdot 3} - \frac{1}{9} \cdot \frac{4}{4}$

Multiply $12$ by $3$ .

$\frac{5 \cdot 3}{36} - \frac{1}{9} \cdot \frac{4}{4}$

Multiply $\frac{1}{9}$ by $\frac{4}{4}$ .

$\frac{5 \cdot 3}{36} - \frac{4}{9 \cdot 4}$

Multiply $9$ by $4$ .

$\frac{5 \cdot 3}{36} - \frac{4}{36}$

Combine the numerators over the common denominator.

$\frac{5 \cdot 3 - 4}{36}$

Simplify the numerator.

Multiply $5$ by $3$ .

$\frac{15 - 4}{36}$

Subtract $4$ from $15$ .

$\frac{11}{36}$

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{36}$

Decimal Form:

$0.30\overline{5}$