Solve for w 1/6w+1/8=1/3

$\frac{1}{6} w + \frac{1}{8} = \frac{1}{3}$

Combine $\frac{1}{6}$ and $w$ .

$\frac{w}{6} + \frac{1}{8} = \frac{1}{3}$

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

Subtract $\frac{1}{8}$ from both sides of the equation.

$\frac{w}{6} = \frac{1}{3} - \frac{1}{8}$

To write $\frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{w}{6} = \frac{1}{3} \cdot \frac{8}{8} - \frac{1}{8}$

To write $- \frac{1}{8}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{w}{6} = \frac{1}{3} \cdot \frac{8}{8} - \frac{1}{8} \cdot \frac{3}{3}$

Write each expression with a common denominator of $24$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{3}$ by $\frac{8}{8}$ .

$\frac{w}{6} = \frac{8}{3 \cdot 8} - \frac{1}{8} \cdot \frac{3}{3}$

Multiply $3$ by $8$ .

$\frac{w}{6} = \frac{8}{24} - \frac{1}{8} \cdot \frac{3}{3}$

Multiply $\frac{1}{8}$ by $\frac{3}{3}$ .

$\frac{w}{6} = \frac{8}{24} - \frac{3}{8 \cdot 3}$

Multiply $8$ by $3$ .

$\frac{w}{6} = \frac{8}{24} - \frac{3}{24}$

Combine the numerators over the common denominator.

$\frac{w}{6} = \frac{8 - 3}{24}$

Subtract $3$ from $8$ .

$\frac{w}{6} = \frac{5}{24}$

Multiply both sides of the equation by $6$ .

$6 \frac{w}{6} = 6 (\frac{5}{24})$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$6 \frac{w}{6} = 6 (\frac{5}{24})$

Rewrite the expression.

$w = 6 (\frac{5}{24})$

Simplify the right side.

Cancel the common factor of $6$ .

Factor $6$ out of $24$ .

$w = 6 \frac{5}{6 (4)}$

Cancel the common factor.

$w = 6 \frac{5}{6 \cdot 4}$

Rewrite the expression.

$w = \frac{5}{4}$

The result can be shown in multiple forms.

Exact Form:

$w = \frac{5}{4}$

Decimal Form:

$w = 1.25$

Mixed Number Form:

$w = 1 \frac{1}{4}$

Solve for w 1/6w+1/8=1/3

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