Algebra Examples

$\frac{3 p}{5} + \frac{8}{5} = 1$

Step 1

Move all terms not containing $p$ to the right side of the equation.

Tap for more steps...

Step 1.1

Subtract $\frac{8}{5}$ from both sides of the equation.

$\frac{3 p}{5} = 1 - \frac{8}{5}$

Step 1.2

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

$\frac{3 p}{5} = \frac{5}{5} - \frac{8}{5}$

Step 1.3

Combine the numerators over the common denominator.

$\frac{3 p}{5} = \frac{5 - 8}{5}$

Step 1.4

Subtract $8$ from $5$ .

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

Step 1.5

Move the negative in front of the fraction.

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

Step 2

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$3 p = - 3$

Step 3

Divide each term in $3 p = - 3$ by $3$ and simplify.

Tap for more steps...

Step 3.1

Divide each term in $3 p = - 3$ by $3$ .

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

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Cancel the common factor of $3$ .

Tap for more steps...

Step 3.2.1.1

Cancel the common factor.

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

Step 3.2.1.2

Divide $p$ by $1$ .

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

Step 3.3

Simplify the right side.

Tap for more steps...

Step 3.3.1

Divide $- 3$ by $3$ .

$p = - 1$