Finite Math Examples

$p = \frac{200}{h}$

Step 1

Rewrite the equation as $\frac{200}{h} = p$ .

$\frac{200}{h} = p$

Step 2

Find the LCD of the terms in the equation.

Tap for more steps...

Step 2.1

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$h, 1$

Step 2.2

The LCM of one and any expression is the expression.

$h$

Step 3

Multiply each term in $\frac{200}{h} = p$ by $h$ to eliminate the fractions.

Tap for more steps...

Step 3.1

Multiply each term in $\frac{200}{h} = p$ by $h$ .

$\frac{200}{h} h = p h$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Cancel the common factor of $h$ .

Tap for more steps...

Step 3.2.1.1

Cancel the common factor.

$\frac{200}{h} h = p h$

Step 3.2.1.2

Rewrite the expression.

$200 = p h$

Step 4

Solve the equation.

Tap for more steps...

Step 4.1

Rewrite the equation as $p h = 200$ .

$p h = 200$

Step 4.2

Divide each term in $p h = 200$ by $p$ and simplify.

Tap for more steps...

Step 4.2.1

Divide each term in $p h = 200$ by $p$ .

$\frac{p h}{p} = \frac{200}{p}$

Step 4.2.2

Simplify the left side.

Tap for more steps...

Step 4.2.2.1

Cancel the common factor of $p$ .

Tap for more steps...

Step 4.2.2.1.1

Cancel the common factor.

$\frac{p h}{p} = \frac{200}{p}$

Step 4.2.2.1.2

Divide $h$ by $1$ .

$h = \frac{200}{p}$