Basic Math Examples

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

Step 1

Simplify the left side.

Tap for more steps...

Step 1.1

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

Tap for more steps...

Step 1.1.1

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

Tap for more steps...

Step 1.1.1.1

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

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

Step 1.1.1.2

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

Tap for more steps...

Step 1.1.1.2.1

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

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

Step 1.1.1.2.2

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

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

Step 1.1.1.2.3

Combine the numerators over the common denominator.

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

Step 1.1.1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.1.1.2.4.1

Multiply $2$ by $2$ .

$- \frac{4 + 1}{2} p = - 3$

Step 1.1.1.2.4.2

Add $4$ and $1$ .

$- \frac{5}{2} p = - 3$

Step 1.1.2

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

$- \frac{p \cdot 5}{2} = - 3$

Step 1.1.3

Move $5$ to the left of $p$ .

$- \frac{5 p}{2} = - 3$

Step 2

Multiply both sides of the equation by $- \frac{2}{5}$ .

$- \frac{2}{5} (- \frac{5 p}{2}) = - \frac{2}{5} \cdot - 3$

Step 3

Simplify both sides of the equation.

Tap for more steps...

Step 3.1

Simplify the left side.

Tap for more steps...

Step 3.1.1

Simplify $- \frac{2}{5} (- \frac{5 p}{2})$ .

Tap for more steps...

Step 3.1.1.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 3.1.1.1.1

Move the leading negative in $- \frac{2}{5}$ into the numerator.

$\frac{- 2}{5} (- \frac{5 p}{2}) = - \frac{2}{5} \cdot - 3$

Step 3.1.1.1.2

Move the leading negative in $- \frac{5 p}{2}$ into the numerator.

$\frac{- 2}{5} \cdot \frac{- 5 p}{2} = - \frac{2}{5} \cdot - 3$

Step 3.1.1.1.3

Factor $2$ out of $- 2$ .

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

Step 3.1.1.1.4

Cancel the common factor.

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

Step 3.1.1.1.5

Rewrite the expression.

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

Step 3.1.1.2

Cancel the common factor of $5$ .

Tap for more steps...

Step 3.1.1.2.1

Factor $5$ out of $- 5 p$ .

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

Step 3.1.1.2.2

Cancel the common factor.

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

Step 3.1.1.2.3

Rewrite the expression.

$- - p = - \frac{2}{5} \cdot - 3$

Step 3.1.1.3

Multiply.

Tap for more steps...

Step 3.1.1.3.1

Multiply $- 1$ by $- 1$ .

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

Step 3.1.1.3.2

Multiply $p$ by $1$ .

$p = - \frac{2}{5} \cdot - 3$

Step 3.2

Simplify the right side.

Tap for more steps...

Step 3.2.1

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

Tap for more steps...

Step 3.2.1.1

Multiply $- 3$ by $- 1$ .

$p = 3 (\frac{2}{5})$

Step 3.2.1.2

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

$p = \frac{3 \cdot 2}{5}$

Step 3.2.1.3

Multiply $3$ by $2$ .

$p = \frac{6}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$p = \frac{6}{5}$

Decimal Form:

$p = 1.2$

Mixed Number Form:

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