Finite Math Examples

$36 = 1200 \cdot r \cdot 0.5$

Step 1

Rewrite the equation as $1200 \cdot r \cdot 0.5 = 36$ .

$1200 \cdot r \cdot 0.5 = 36$

Step 2

Multiply $0.5$ by $1200$ .

$600 \cdot r = 36$

Step 3

Divide each term in $600 \cdot r = 36$ by $600$ and simplify.

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Step 3.1

Divide each term in $600 \cdot r = 36$ by $600$ .

$\frac{600 \cdot r}{600} = \frac{36}{600}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $600$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{600 \cdot r}{600} = \frac{36}{600}$

Step 3.2.1.2

Divide $r$ by $1$ .

$r = \frac{36}{600}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Cancel the common factor of $36$ and $600$ .

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Step 3.3.1.1

Factor $12$ out of $36$ .

$r = \frac{12 (3)}{600}$

Step 3.3.1.2

Cancel the common factors.

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Step 3.3.1.2.1

Factor $12$ out of $600$ .

$r = \frac{12 \cdot 3}{12 \cdot 50}$

Step 3.3.1.2.2

Cancel the common factor.

$r = \frac{12 \cdot 3}{12 \cdot 50}$

Step 3.3.1.2.3

Rewrite the expression.

$r = \frac{3}{50}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$r = \frac{3}{50}$

Decimal Form:

$r = 0.06$