Combine -2/3p+1/5-1+5/6p

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

Find the common denominator.

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Write $- \frac{2}{3} p$ as a fraction with denominator $1$ .

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

Multiply $\frac{- \frac{2}{3} p}{1}$ by $\frac{5}{5}$ .

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

Multiply $\frac{- \frac{2}{3} p}{1}$ and $\frac{5}{5}$ .

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

Write $- 1$ as a fraction with denominator $1$ .

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

Multiply $\frac{- 1}{1}$ by $\frac{5}{5}$ .

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

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

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

Write $\frac{5}{6} p$ as a fraction with denominator $1$ .

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

Multiply $\frac{\frac{5}{6} p}{1}$ by $\frac{5}{5}$ .

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

Multiply $\frac{\frac{5}{6} p}{1}$ and $\frac{5}{5}$ .

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

Multiply $- 1$ by $5$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

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

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

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

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

Multiply $- \frac{2 p}{3} \cdot 5$ .

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Multiply $5$ by $- 1$ .

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

Combine $- 5$ and $\frac{2 p}{3}$ .

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

Multiply $2$ by $- 5$ .

$\frac{\frac{- 10 p}{3} + 1 - 5 + \frac{5}{6} p \cdot 5}{5}$

Move the negative in front of the fraction.

$\frac{- \frac{(10) p}{3} + 1 - 5 + \frac{5}{6} p \cdot 5}{5}$

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

$\frac{- \frac{10 p}{3} + 1 - 5 + \frac{5 p}{6} \cdot 5}{5}$

Multiply $\frac{5 p}{6} \cdot 5$ .

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

$\frac{- \frac{10 p}{3} + 1 - 5 + \frac{5 p \cdot 5}{6}}{5}$

Multiply $5$ by $5$ .

$\frac{- \frac{10 p}{3} + 1 - 5 + \frac{25 p}{6}}{5}$

Write $1$ as a fraction with a common denominator.

$\frac{- \frac{10 p}{3} + \frac{3}{3} - 5 + \frac{25 p}{6}}{5}$

Combine the numerators over the common denominator.

$\frac{\frac{- 10 p + 3}{3} - 5 + \frac{25 p}{6}}{5}$

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

$\frac{\frac{- 10 p + 3}{3} - 5 \cdot \frac{3}{3} + \frac{25 p}{6}}{5}$

Combine $- 5$ and $\frac{3}{3}$ .

$\frac{\frac{- 10 p + 3}{3} + \frac{- 5 \cdot 3}{3} + \frac{25 p}{6}}{5}$

Combine the numerators over the common denominator.

$\frac{\frac{- 10 p + 3 - 5 \cdot 3}{3} + \frac{25 p}{6}}{5}$

To write $\frac{- 10 p + 3 - 5 \cdot 3}{3}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{\frac{- 10 p + 3 - 5 \cdot 3}{3} \cdot \frac{2}{2} + \frac{25 p}{6}}{5}$

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

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Multiply $\frac{- 10 p + 3 - 5 \cdot 3}{3}$ and $\frac{2}{2}$ .

$\frac{\frac{(- 10 p + 3 - 5 \cdot 3) \cdot 2}{3 \cdot 2} + \frac{25 p}{6}}{5}$

Multiply $3$ by $2$ .

$\frac{\frac{(- 10 p + 3 - 5 \cdot 3) \cdot 2}{6} + \frac{25 p}{6}}{5}$

Combine the numerators over the common denominator.

$\frac{\frac{(- 10 p + 3 - 5 \cdot 3) \cdot 2 + 25 p}{6}}{5}$

Rewrite $\frac{(- 10 p + 3 - 5 \cdot 3) \cdot 2 + 25 p}{6}$ in a factored form.

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Multiply $- 5$ by $3$ .

$\frac{\frac{(- 10 p + 3 - 15) \cdot 2 + 25 p}{6}}{5}$

Subtract $15$ from $3$ .

$\frac{\frac{(- 10 p - 12) \cdot 2 + 25 p}{6}}{5}$

Apply the distributive property.

$\frac{\frac{- 10 p \cdot 2 - 12 \cdot 2 + 25 p}{6}}{5}$

Multiply $2$ by $- 10$ .

$\frac{\frac{- 20 p - 12 \cdot 2 + 25 p}{6}}{5}$

Multiply $- 12$ by $2$ .

$\frac{\frac{- 20 p - 24 + 25 p}{6}}{5}$

Add $- 20 p$ and $25 p$ .

$\frac{\frac{5 p - 24}{6}}{5}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{5 p - 24}{6} \cdot \frac{1}{5}$

Multiply $\frac{5 p - 24}{6} \cdot \frac{1}{5}$ .

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Multiply $\frac{5 p - 24}{6}$ and $\frac{1}{5}$ .

$\frac{5 p - 24}{6 \cdot 5}$

Multiply $6$ by $5$ .

$\frac{5 p - 24}{30}$

Split the fraction into multiple fractions.

$\frac{5 p}{30} - \frac{24}{30}$

Reduce the expression $\frac{5 p}{30}$ by cancelling the common factors.

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Factor $5$ out of $5 p$ .

$\frac{5 (p)}{30} - \frac{24}{30}$

Factor $5$ out of $30$ .

$\frac{5 p}{5 \cdot 6} - \frac{24}{30}$

Cancel the common factor.

$\frac{5 p}{5 \cdot 6} - \frac{24}{30}$

Rewrite the expression.

$\frac{p}{6} - \frac{24}{30}$

Reduce the expression $\frac{24}{30}$ by cancelling the common factors.

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Factor $6$ out of $24$ .

$\frac{p}{6} - \frac{6 (4)}{30}$

Factor $6$ out of $30$ .

$\frac{p}{6} - \frac{6 \cdot 4}{6 \cdot 5}$

Cancel the common factor.

$\frac{p}{6} - \frac{6 \cdot 4}{6 \cdot 5}$

Rewrite the expression.

$\frac{p}{6} - \frac{4}{5}$

Combine -2/3p+1/5-1+5/6p

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