Solve for w w-5/8=-1/4

$w - \frac{5}{8} = - \frac{1}{4}$

Step 1

Add $\frac{5}{8}$ to both sides of the equation.

$w = - \frac{1}{4} + \frac{5}{8}$

Step 2

To write $- \frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$w = - \frac{1}{4} \cdot \frac{2}{2} + \frac{5}{8}$

Step 3

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{4}$ by $\frac{2}{2}$ .

$w = - \frac{2}{4 \cdot 2} + \frac{5}{8}$

Multiply $4$ by $2$ .

$w = - \frac{2}{8} + \frac{5}{8}$

Step 4

Combine the numerators over the common denominator.

$w = \frac{- 2 + 5}{8}$

Step 5

Add $- 2$ and $5$ .

$w = \frac{3}{8}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$w = \frac{3}{8}$

Decimal Form:

$w = 0.375$