Evaluate 2/9+(-1/2)

$\frac{2}{9} + (- \frac{1}{2})$

Step 1

Remove parentheses.

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

Step 2

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

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

Step 3

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

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

Step 4

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

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

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

Multiply $9$ by $2$ .

$\frac{2 \cdot 2}{18} - \frac{1}{2} \cdot \frac{9}{9}$

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

$\frac{2 \cdot 2}{18} - \frac{9}{2 \cdot 9}$

Multiply $2$ by $9$ .

$\frac{2 \cdot 2}{18} - \frac{9}{18}$

Step 5

Combine the numerators over the common denominator.

$\frac{2 \cdot 2 - 9}{18}$

Step 6

Simplify the numerator.

Multiply $2$ by $2$ .

$\frac{4 - 9}{18}$

Subtract $9$ from $4$ .

$\frac{- 5}{18}$

Step 7

Move the negative in front of the fraction.

$- \frac{5}{18}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{5}{18}$

Decimal Form:

$- 0.2\overline{7}$