Basic Math Examples

$- \frac{3}{17} p = - 4$

Step 1

Multiply both sides of the equation by $- \frac{17}{3}$ .

$- \frac{17}{3} (- \frac{3}{17} p) = - \frac{17}{3} \cdot - 4$

Step 2

Simplify both sides of the equation.

Tap for more steps...

Step 2.1

Simplify the left side.

Tap for more steps...

Step 2.1.1

Simplify $- \frac{17}{3} (- \frac{3}{17} p)$ .

Tap for more steps...

Step 2.1.1.1

Combine $p$ and $\frac{3}{17}$ .

$- \frac{17}{3} (- \frac{p \cdot 3}{17}) = - \frac{17}{3} \cdot - 4$

Step 2.1.1.2

Cancel the common factor of $17$ .

Tap for more steps...

Step 2.1.1.2.1

Move the leading negative in $- \frac{17}{3}$ into the numerator.

$\frac{- 17}{3} (- \frac{p \cdot 3}{17}) = - \frac{17}{3} \cdot - 4$

Step 2.1.1.2.2

Move the leading negative in $- \frac{p \cdot 3}{17}$ into the numerator.

$\frac{- 17}{3} \cdot \frac{- p \cdot 3}{17} = - \frac{17}{3} \cdot - 4$

Step 2.1.1.2.3

Factor $17$ out of $- 17$ .

$\frac{17 (- 1)}{3} \cdot \frac{- p \cdot 3}{17} = - \frac{17}{3} \cdot - 4$

Step 2.1.1.2.4

Cancel the common factor.

$\frac{17 \cdot - 1}{3} \cdot \frac{- p \cdot 3}{17} = - \frac{17}{3} \cdot - 4$

Step 2.1.1.2.5

Rewrite the expression.

$\frac{- 1}{3} (- p \cdot 3) = - \frac{17}{3} \cdot - 4$

Step 2.1.1.3

Cancel the common factor of $3$ .

Tap for more steps...

Step 2.1.1.3.1

Factor $3$ out of $- p \cdot 3$ .

$\frac{- 1}{3} (3 \cdot (- p)) = - \frac{17}{3} \cdot - 4$

Step 2.1.1.3.2

Cancel the common factor.

$\frac{- 1}{3} (3 \cdot (- p)) = - \frac{17}{3} \cdot - 4$

Step 2.1.1.3.3

Rewrite the expression.

$- - p = - \frac{17}{3} \cdot - 4$

Step 2.1.1.4

Multiply.

Tap for more steps...

Step 2.1.1.4.1

Multiply $- 1$ by $- 1$ .

$1 p = - \frac{17}{3} \cdot - 4$

Step 2.1.1.4.2

Multiply $p$ by $1$ .

$p = - \frac{17}{3} \cdot - 4$

Step 2.2

Simplify the right side.

Tap for more steps...

Step 2.2.1

Multiply $- \frac{17}{3} \cdot - 4$ .

Tap for more steps...

Step 2.2.1.1

Multiply $- 4$ by $- 1$ .

$p = 4 (\frac{17}{3})$

Step 2.2.1.2

Combine $4$ and $\frac{17}{3}$ .

$p = \frac{4 \cdot 17}{3}$

Step 2.2.1.3

Multiply $4$ by $17$ .

$p = \frac{68}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$p = \frac{68}{3}$

Decimal Form:

$p = 22.\overline{6}$

Mixed Number Form:

$p = 22 \frac{2}{3}$