Basic Math Examples

$8 = p (\frac{9}{100}) {(10)}^{2} \cdot h$

Step 1

Rewrite the equation as $p (\frac{9}{100}) \cdot {(10)}^{2} \cdot h = 8$ .

$p (\frac{9}{100}) \cdot {(10)}^{2} \cdot h = 8$

Step 2

Simplify $p (\frac{9}{100}) \cdot {(10)}^{2} \cdot h$ .

Tap for more steps...

Step 2.1

Combine $p$ and $\frac{9}{100}$ .

$\frac{p \cdot 9}{100} \cdot {(10)}^{2} \cdot h = 8$

Step 2.2

Simplify the expression.

Tap for more steps...

Step 2.2.1

Move $9$ to the left of $p$ .

$\frac{9 \cdot p}{100} \cdot {(10)}^{2} \cdot h = 8$

Step 2.2.2

Raise $10$ to the power of $2$ .

$\frac{9 p}{100} \cdot 100 \cdot h = 8$

Step 2.3

Cancel the common factor of $100$ .

Tap for more steps...

Step 2.3.1

Cancel the common factor.

$\frac{9 p}{100} \cdot 100 \cdot h = 8$

Step 2.3.2

Rewrite the expression.

$9 p \cdot h = 8$

$9 p h = 8$

Step 3

Divide each term in $9 p h = 8$ by $9 p$ and simplify.

Tap for more steps...

Step 3.1

Divide each term in $9 p h = 8$ by $9 p$ .

$\frac{9 p h}{9 p} = \frac{8}{9 p}$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Cancel the common factor of $9$ .

Tap for more steps...

Step 3.2.1.1

Cancel the common factor.

$\frac{9 p h}{9 p} = \frac{8}{9 p}$

Step 3.2.1.2

Rewrite the expression.

$\frac{p h}{p} = \frac{8}{9 p}$

Step 3.2.2

Cancel the common factor of $p$ .

Tap for more steps...

Step 3.2.2.1

Cancel the common factor.

$\frac{p h}{p} = \frac{8}{9 p}$

Step 3.2.2.2

Divide $h$ by $1$ .

$h = \frac{8}{9 p}$