Algebra Examples

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

Step 1

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

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

Step 2

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

Tap for more steps...

Step 2.1

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

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

Step 2.2

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

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

Step 2.3

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

Tap for more steps...

Step 2.3.1

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

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

Step 2.3.2

Multiply $3$ by $2$ .

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

Step 2.4

Combine the numerators over the common denominator.

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

Step 2.5

Add $- 2$ and $5$ .

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

Step 2.6

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

Tap for more steps...

Step 2.6.1

Factor $3$ out of $3$ .

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

Step 2.6.2

Cancel the common factors.

Tap for more steps...

Step 2.6.2.1

Factor $3$ out of $6$ .

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

Step 2.6.2.2

Cancel the common factor.

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

Step 2.6.2.3

Rewrite the expression.

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$w = 0.5$