Evaluate 2/3-5/9

$\frac{2}{3} - \frac{5}{9}$

Step 1

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

$\frac{2}{3} \cdot \frac{3}{3} - \frac{5}{9}$

Step 2

Write each expression with a common denominator of $9$ , by multiplying each by an appropriate factor of $1$ .

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

$\frac{2 \cdot 3}{3 \cdot 3} - \frac{5}{9}$

Multiply $3$ by $3$ .

$\frac{2 \cdot 3}{9} - \frac{5}{9}$

Step 3

Combine the numerators over the common denominator.

$\frac{2 \cdot 3 - 5}{9}$

Step 4

Simplify the numerator.

Multiply $2$ by $3$ .

$\frac{6 - 5}{9}$

Subtract $5$ from $6$ .

$\frac{1}{9}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{9}$

Decimal Form:

$0.\overline{1}$