Finite Math Examples

$54 = p (0.04) (\frac{3}{4})$

Step 1

Rewrite the equation as $p (0.04) (\frac{3}{4}) = 54$ .

$p (0.04) (\frac{3}{4}) = 54$

Step 2

Simplify $p (0.04) (\frac{3}{4})$ .

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Step 2.1

Cancel the common factor of $0.04$ .

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Step 2.1.1

Factor $0.04$ out of $p (0.04)$ .

$0.04 p \frac{3}{4} = 54$

Step 2.1.2

Factor $0.04$ out of $4$ .

$0.04 p \frac{3}{0.04 (100)} = 54$

Step 2.1.3

Cancel the common factor.

$0.04 p \frac{3}{0.04 \cdot 100} = 54$

Step 2.1.4

Rewrite the expression.

$p \frac{3}{100} = 54$

Step 2.2

Combine $p$ and $\frac{3}{100}$ .

$\frac{p \cdot 3}{100} = 54$

Step 2.3

Move $3$ to the left of $p$ .

$\frac{3 p}{100} = 54$

Step 3

Multiply both sides of the equation by $\frac{100}{3}$ .

$\frac{100}{3} \cdot \frac{3 p}{100} = \frac{100}{3} \cdot 54$

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 $\frac{100}{3} \cdot \frac{3 p}{100}$ .

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Step 4.1.1.1

Cancel the common factor of $100$ .

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Step 4.1.1.1.1

Cancel the common factor.

$\frac{100}{3} \cdot \frac{3 p}{100} = \frac{100}{3} \cdot 54$

Step 4.1.1.1.2

Rewrite the expression.

$\frac{1}{3} (3 p) = \frac{100}{3} \cdot 54$

Step 4.1.1.2

Cancel the common factor of $3$ .

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Step 4.1.1.2.1

Factor $3$ out of $3 p$ .

$\frac{1}{3} (3 (p)) = \frac{100}{3} \cdot 54$

Step 4.1.1.2.2

Cancel the common factor.

$\frac{1}{3} (3 p) = \frac{100}{3} \cdot 54$

Step 4.1.1.2.3

Rewrite the expression.

$p = \frac{100}{3} \cdot 54$

Step 4.2

Simplify the right side.

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Step 4.2.1

Simplify $\frac{100}{3} \cdot 54$ .

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Step 4.2.1.1

Cancel the common factor of $3$ .

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Step 4.2.1.1.1

Factor $3$ out of $54$ .

$p = \frac{100}{3} \cdot (3 (18))$

Step 4.2.1.1.2

Cancel the common factor.

$p = \frac{100}{3} \cdot (3 \cdot 18)$

Step 4.2.1.1.3

Rewrite the expression.

$p = 100 \cdot 18$

Step 4.2.1.2

Multiply $100$ by $18$ .

$p = 1800$