Basic Math Examples

$271.4 = p (36) (h)$

Step 1

Rewrite the equation as $p (36) h = 271.4$ .

$p (36) h = 271.4$

Step 2

Divide each term in $p (36) h = 271.4$ by $p \cdot 36$ and simplify.

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Step 2.1

Divide each term in $p (36) h = 271.4$ by $p \cdot 36$ .

$\frac{p \cdot 36 h}{p \cdot 36} = \frac{271.4}{p \cdot 36}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $p$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{p \cdot 36 h}{p \cdot 36} = \frac{271.4}{p \cdot 36}$

Step 2.2.1.2

Rewrite the expression.

$\frac{36 h}{36} = \frac{271.4}{p \cdot 36}$

Step 2.2.2

Cancel the common factor of $36$ .

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Step 2.2.2.1

Cancel the common factor.

$\frac{36 h}{36} = \frac{271.4}{p \cdot 36}$

Step 2.2.2.2

Divide $h$ by $1$ .

$h = \frac{271.4}{p \cdot 36}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Move $36$ to the left of $p$ .

$h = \frac{271.4}{36 \cdot p}$

Step 2.3.2

Factor $271.4$ out of $271.4$ .

$h = \frac{271.4 (1)}{36 \cdot p}$

Step 2.3.3

Factor $36$ out of $36 \cdot p$ .

$h = \frac{271.4 (1)}{36 (p)}$

Step 2.3.4

Separate fractions.

$h = \frac{271.4}{36} \cdot \frac{1}{p}$

Step 2.3.5

Divide $271.4$ by $36$ .

$h = 7.53\overline{8} \frac{1}{p}$

Step 2.3.6

Combine $7.53\overline{8}$ and $\frac{1}{p}$ .

$h = \frac{7.53\overline{8}}{p}$