Basic Math Examples

$\frac{- 5}{- 6} + w = \frac{5}{8}$

Step 1

Dividing two negative values results in a positive value.

$\frac{5}{6} + w = \frac{5}{8}$

Step 2

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

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Step 2.1

Subtract $\frac{5}{6}$ from both sides of the equation.

$w = \frac{5}{8} - \frac{5}{6}$

Step 2.2

To write $\frac{5}{8}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$w = \frac{5}{8} \cdot \frac{3}{3} - \frac{5}{6}$

Step 2.3

To write $- \frac{5}{6}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$w = \frac{5}{8} \cdot \frac{3}{3} - \frac{5}{6} \cdot \frac{4}{4}$

Step 2.4

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

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Step 2.4.1

Multiply $\frac{5}{8}$ by $\frac{3}{3}$ .

$w = \frac{5 \cdot 3}{8 \cdot 3} - \frac{5}{6} \cdot \frac{4}{4}$

Step 2.4.2

Multiply $8$ by $3$ .

$w = \frac{5 \cdot 3}{24} - \frac{5}{6} \cdot \frac{4}{4}$

Step 2.4.3

Multiply $\frac{5}{6}$ by $\frac{4}{4}$ .

$w = \frac{5 \cdot 3}{24} - \frac{5 \cdot 4}{6 \cdot 4}$

Step 2.4.4

Multiply $6$ by $4$ .

$w = \frac{5 \cdot 3}{24} - \frac{5 \cdot 4}{24}$

Step 2.5

Combine the numerators over the common denominator.

$w = \frac{5 \cdot 3 - 5 \cdot 4}{24}$

Step 2.6

Simplify the numerator.

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Step 2.6.1

Multiply $5$ by $3$ .

$w = \frac{15 - 5 \cdot 4}{24}$

Step 2.6.2

Multiply $- 5$ by $4$ .

$w = \frac{15 - 20}{24}$

Step 2.6.3

Subtract $20$ from $15$ .

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

Step 2.7

Move the negative in front of the fraction.

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$w = - 0.208\overline{3}$