Solve for w -1/3=-5/6+w

$- \frac{1}{3} = - \frac{5}{6} + w$

Rewrite the equation as $- \frac{5}{6} + w = - \frac{1}{3}$ .

$- \frac{5}{6} + w = - \frac{1}{3}$

Move all terms not containing $w$ to the right side of the equation.

Add $\frac{5}{6}$ to both sides of the equation.

$w = - \frac{1}{3} + \frac{5}{6}$

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

$w = - \frac{1}{3} \cdot \frac{2}{2} + \frac{5}{6}$

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

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

$w = - \frac{2}{3 \cdot 2} + \frac{5}{6}$

Multiply $3$ by $2$ .

$w = - \frac{2}{6} + \frac{5}{6}$

Combine the numerators over the common denominator.

$w = \frac{- 2 + 5}{6}$

Add $- 2$ and $5$ .

$w = \frac{3}{6}$

Cancel the common factor of $3$ and $6$ .

Factor $3$ out of $3$ .

$w = \frac{3 (1)}{6}$

Cancel the common factors.

Factor $3$ out of $6$ .

$w = \frac{3 \cdot 1}{3 \cdot 2}$

Cancel the common factor.

$w = \frac{3 \cdot 1}{3 \cdot 2}$

Rewrite the expression.

$w = \frac{1}{2}$

The result can be shown in multiple forms.

Exact Form:

$w = \frac{1}{2}$

Decimal Form:

$w = 0.5$