Basic Math Examples

$o = p \cdot 19 \cdot \frac{20}{50}$

Step 1

Rewrite the equation as $p \cdot 19 \cdot \frac{20}{50} = o$ .

$p \cdot 19 \cdot \frac{20}{50} = o$

Step 2

Simplify $p \cdot 19 \cdot \frac{20}{50}$ .

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Step 2.1

Move $19$ to the left of $p$ .

$19 \cdot p \cdot \frac{20}{50} = o$

Step 2.2

Cancel the common factor of $20$ and $50$ .

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Step 2.2.1

Factor $10$ out of $20$ .

$19 p \cdot \frac{10 (2)}{50} = o$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor $10$ out of $50$ .

$19 p \cdot \frac{10 \cdot 2}{10 \cdot 5} = o$

Step 2.2.2.2

Cancel the common factor.

$19 p \cdot \frac{10 \cdot 2}{10 \cdot 5} = o$

Step 2.2.2.3

Rewrite the expression.

$19 p \cdot \frac{2}{5} = o$

Step 2.3

Multiply $19 p \frac{2}{5}$ .

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Step 2.3.1

Combine $19$ and $\frac{2}{5}$ .

$p \frac{19 \cdot 2}{5} = o$

Step 2.3.2

Multiply $19$ by $2$ .

$p \frac{38}{5} = o$

Step 2.3.3

Combine $p$ and $\frac{38}{5}$ .

$\frac{p \cdot 38}{5} = o$

Step 2.4

Move $38$ to the left of $p$ .

$\frac{38 p}{5} = o$

Step 3

Multiply both sides of the equation by $\frac{5}{38}$ .

$\frac{5}{38} \cdot \frac{38 p}{5} = \frac{5}{38} o$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Simplify $\frac{5}{38} \cdot \frac{38 p}{5}$ .

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Step 4.1.1.1

Cancel the common factor of $5$ .

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Step 4.1.1.1.1

Cancel the common factor.

$\frac{5}{38} \cdot \frac{38 p}{5} = \frac{5}{38} o$

Step 4.1.1.1.2

Rewrite the expression.

$\frac{1}{38} (38 p) = \frac{5}{38} o$

Step 4.1.1.2

Cancel the common factor of $38$ .

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Step 4.1.1.2.1

Factor $38$ out of $38 p$ .

$\frac{1}{38} (38 (p)) = \frac{5}{38} o$

Step 4.1.1.2.2

Cancel the common factor.

$\frac{1}{38} (38 p) = \frac{5}{38} o$

Step 4.1.1.2.3

Rewrite the expression.

$p = \frac{5}{38} o$

Step 4.2

Simplify the right side.

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Step 4.2.1

Combine $\frac{5}{38}$ and $o$ .

$p = \frac{5 o}{38}$