Evaluate -1/2+(3/4*4/9)

$- \frac{1}{2} + (\frac{3}{4} \cdot \frac{4}{9})$

Remove parentheses.

$- \frac{1}{2} + \frac{3}{4} \cdot \frac{4}{9}$

Simplify each term.

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

$- \frac{1}{2} + \frac{3}{4} \cdot \frac{4}{3 (3)}$

Cancel the common factor.

$- \frac{1}{2} + \frac{3}{4} \cdot \frac{4}{3 \cdot 3}$

Rewrite the expression.

$- \frac{1}{2} + \frac{1}{4} \cdot \frac{4}{3}$

Cancel the common factor of $4$ .

Cancel the common factor.

$- \frac{1}{2} + \frac{1}{4} \cdot \frac{4}{3}$

Rewrite the expression.

$- \frac{1}{2} + \frac{1}{3}$

To write $- \frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$- \frac{1}{2} \cdot \frac{3}{3} + \frac{1}{3}$

To write $\frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- \frac{1}{2} \cdot \frac{3}{3} + \frac{1}{3} \cdot \frac{2}{2}$

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{2}$ by $\frac{3}{3}$ .

$- \frac{3}{2 \cdot 3} + \frac{1}{3} \cdot \frac{2}{2}$

Multiply $2$ by $3$ .

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

Multiply $\frac{1}{3}$ by $\frac{2}{2}$ .

$- \frac{3}{6} + \frac{2}{3 \cdot 2}$

Multiply $3$ by $2$ .

$- \frac{3}{6} + \frac{2}{6}$

Combine the numerators over the common denominator.

$\frac{- 3 + 2}{6}$

Add $- 3$ and $2$ .

$\frac{- 1}{6}$

Move the negative in front of the fraction.

$- \frac{1}{6}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{6}$

Decimal Form:

$- 0.1\overline{6}$