Solve for p (-2 1/7)p=-3

$(- 2 \frac{1}{7}) p = - 3$

Step 1

Simplify the left side.

Simplify $- 2 \frac{1}{7} p$ .

Convert $2 \frac{1}{7}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$- (2 + \frac{1}{7}) p = - 3$

Add $2$ and $\frac{1}{7}$ .

To write $2$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$- (2 \cdot \frac{7}{7} + \frac{1}{7}) p = - 3$

Combine $2$ and $\frac{7}{7}$ .

$- (\frac{2 \cdot 7}{7} + \frac{1}{7}) p = - 3$

Combine the numerators over the common denominator.

$- \frac{2 \cdot 7 + 1}{7} p = - 3$

Simplify the numerator.

Multiply $2$ by $7$ .

$- \frac{14 + 1}{7} p = - 3$

Add $14$ and $1$ .

$- \frac{15}{7} p = - 3$

Combine $p$ and $\frac{15}{7}$ .

$- \frac{p \cdot 15}{7} = - 3$

Move $15$ to the left of $p$ .

$- \frac{15 p}{7} = - 3$

Step 2

Multiply both sides of the equation by $- \frac{7}{15}$ .

$- \frac{7}{15} (- \frac{15 p}{7}) = - \frac{7}{15} \cdot - 3$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{7}{15} (- \frac{15 p}{7})$ .

Cancel the common factor of $7$ .

Move the leading negative in $- \frac{7}{15}$ into the numerator.

$\frac{- 7}{15} (- \frac{15 p}{7}) = - \frac{7}{15} \cdot - 3$

Move the leading negative in $- \frac{15 p}{7}$ into the numerator.

$\frac{- 7}{15} \cdot \frac{- 15 p}{7} = - \frac{7}{15} \cdot - 3$

Factor $7$ out of $- 7$ .

$\frac{7 (- 1)}{15} \cdot \frac{- 15 p}{7} = - \frac{7}{15} \cdot - 3$

Cancel the common factor.

$\frac{7 \cdot - 1}{15} \cdot \frac{- 15 p}{7} = - \frac{7}{15} \cdot - 3$

Rewrite the expression.

$\frac{- 1}{15} (- 15 p) = - \frac{7}{15} \cdot - 3$

Cancel the common factor of $15$ .

Factor $15$ out of $- 15 p$ .

$\frac{- 1}{15} (15 (- p)) = - \frac{7}{15} \cdot - 3$

Cancel the common factor.

$\frac{- 1}{15} (15 (- p)) = - \frac{7}{15} \cdot - 3$

Rewrite the expression.

$- - p = - \frac{7}{15} \cdot - 3$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 p = - \frac{7}{15} \cdot - 3$

Multiply $p$ by $1$ .

$p = - \frac{7}{15} \cdot - 3$

Simplify the right side.

Simplify $- \frac{7}{15} \cdot - 3$ .

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{7}{15}$ into the numerator.

$p = \frac{- 7}{15} \cdot - 3$

Factor $3$ out of $15$ .

$p = \frac{- 7}{3 (5)} \cdot - 3$

Factor $3$ out of $- 3$ .

$p = \frac{- 7}{3 \cdot 5} \cdot (3 \cdot - 1)$

Cancel the common factor.

$p = \frac{- 7}{3 \cdot 5} \cdot (3 \cdot - 1)$

Rewrite the expression.

$p = \frac{- 7}{5} \cdot - 1$

Combine $\frac{- 7}{5}$ and $- 1$ .

$p = \frac{- 7 \cdot - 1}{5}$

Multiply $- 7$ by $- 1$ .

$p = \frac{7}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$p = \frac{7}{5}$

Decimal Form:

$p = 1.4$

Mixed Number Form:

$p = 1 \frac{2}{5}$

Solve for p (-2 1/7)p=-3

Related Questions

Support LCMGCF.com by disabling your adblocker.