Algebra Examples

$- \frac{2}{3} p + \frac{1}{5} - 1 + \frac{5}{6} p$

Step 1

Simplify each term.

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Step 1.1

Combine $p$ and $\frac{2}{3}$ .

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

Step 1.2

Move $2$ to the left of $p$ .

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

Step 1.3

Combine $\frac{5}{6}$ and $p$ .

$- \frac{2 p}{3} + \frac{1}{5} - 1 + \frac{5 p}{6}$

Step 2

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

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

Step 3

Combine $- 1$ and $\frac{5}{5}$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 1$ by $5$ .

$- \frac{2 p}{3} + \frac{1 - 5}{5} + \frac{5 p}{6}$

Step 5.2

Subtract $5$ from $1$ .

$- \frac{2 p}{3} + \frac{- 4}{5} + \frac{5 p}{6}$

Step 6

Move the negative in front of the fraction.

$- \frac{2 p}{3} - \frac{4}{5} + \frac{5 p}{6}$

Step 7

Move $- \frac{4}{5}$ .

$- \frac{2 p}{3} + \frac{5 p}{6} - \frac{4}{5}$

Step 8

Reorder terms.

$- (\frac{2}{3} p) + \frac{5}{6} p - \frac{4}{5}$

Step 9

Remove parentheses.

$- \frac{2}{3} p + \frac{5}{6} p - \frac{4}{5}$