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

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

Remove parentheses.

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

Multiply $- (- \frac{9}{2})$ .

Multiply $- 1$ by $- 1$ .

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

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

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

Find the common denominator.

Write $1$ as a fraction with denominator $1$ .

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

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

$\frac{1}{1} \cdot \frac{6}{6} - \frac{2}{3} + \frac{9}{2}$

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

$\frac{6}{6} - \frac{2}{3} + \frac{9}{2}$

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

$\frac{6}{6} - (\frac{2}{3} \cdot \frac{2}{2}) + \frac{9}{2}$

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

$\frac{6}{6} - \frac{2 \cdot 2}{3 \cdot 2} + \frac{9}{2}$

Multiply $\frac{9}{2}$ by $\frac{3}{3}$ .

$\frac{6}{6} - \frac{2 \cdot 2}{3 \cdot 2} + \frac{9}{2} \cdot \frac{3}{3}$

Multiply $\frac{9}{2}$ by $\frac{3}{3}$ .

$\frac{6}{6} - \frac{2 \cdot 2}{3 \cdot 2} + \frac{9 \cdot 3}{2 \cdot 3}$

Reorder the factors of $3 \cdot 2$ .

$\frac{6}{6} - \frac{2 \cdot 2}{2 \cdot 3} + \frac{9 \cdot 3}{2 \cdot 3}$

Multiply $2$ by $3$ .

$\frac{6}{6} - \frac{2 \cdot 2}{6} + \frac{9 \cdot 3}{2 \cdot 3}$

Multiply $2$ by $3$ .

$\frac{6}{6} - \frac{2 \cdot 2}{6} + \frac{9 \cdot 3}{6}$

Combine the numerators over the common denominator.

$\frac{6 - 2 \cdot 2 + 9 \cdot 3}{6}$

Simplify each term.

Multiply $- 2$ by $2$ .

$\frac{6 - 4 + 9 \cdot 3}{6}$

Multiply $9$ by $3$ .

$\frac{6 - 4 + 27}{6}$

Simplify by adding and subtracting.

Subtract $4$ from $6$ .

$\frac{2 + 27}{6}$

Add $2$ and $27$ .

$\frac{29}{6}$

The result can be shown in multiple forms.

Exact Form:

$\frac{29}{6}$

Decimal Form:

$4.8\overline{3}$

Mixed Number Form:

$4 \frac{5}{6}$

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

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