Finite Math Examples

$39 = (833) (\frac{3}{40}) r$

Step 1

Rewrite the equation as $833 (\frac{3}{40}) \cdot r = 39$ .

$833 (\frac{3}{40}) \cdot r = 39$

Step 2

Multiply $833 (\frac{3}{40})$ .

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Step 2.1

Combine $833$ and $\frac{3}{40}$ .

$\frac{833 \cdot 3}{40} \cdot r = 39$

Step 2.2

Multiply $833$ by $3$ .

$\frac{2499}{40} \cdot r = 39$

Step 3

Multiply each term in $\frac{2499}{40} r = 39$ by $\frac{40}{2499}$ to eliminate the fractions.

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Step 3.1

Multiply each term in $\frac{2499}{40} r = 39$ by $\frac{40}{2499}$ .

$\frac{2499}{40} r \frac{40}{2499} = 39 (\frac{40}{2499})$

Step 3.2

Simplify the left side.

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Step 3.2.1

Combine $\frac{2499}{40}$ and $r$ .

$\frac{2499 r}{40} \cdot \frac{40}{2499} = 39 (\frac{40}{2499})$

Step 3.2.2

Cancel the common factor of $2499$ .

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Step 3.2.2.1

Factor $2499$ out of $2499 r$ .

$\frac{2499 (r)}{40} \cdot \frac{40}{2499} = 39 (\frac{40}{2499})$

Step 3.2.2.2

Cancel the common factor.

$\frac{2499 r}{40} \cdot \frac{40}{2499} = 39 (\frac{40}{2499})$

Step 3.2.2.3

Rewrite the expression.

$\frac{r}{40} \cdot 40 = 39 (\frac{40}{2499})$

Step 3.2.3

Cancel the common factor of $40$ .

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Step 3.2.3.1

Cancel the common factor.

$\frac{r}{40} \cdot 40 = 39 (\frac{40}{2499})$

Step 3.2.3.2

Rewrite the expression.

$r = 39 (\frac{40}{2499})$

Step 3.3

Simplify the right side.

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Step 3.3.1

Cancel the common factor of $3$ .

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Step 3.3.1.1

Factor $3$ out of $39$ .

$r = 3 (13) \frac{40}{2499}$

Step 3.3.1.2

Factor $3$ out of $2499$ .

$r = 3 \cdot 13 \frac{40}{3 \cdot 833}$

Step 3.3.1.3

Cancel the common factor.

$r = 3 \cdot 13 \frac{40}{3 \cdot 833}$

Step 3.3.1.4

Rewrite the expression.

$r = 13 (\frac{40}{833})$

Step 3.3.2

Combine $13$ and $\frac{40}{833}$ .

$r = \frac{13 \cdot 40}{833}$

Step 3.3.3

Multiply $13$ by $40$ .

$r = \frac{520}{833}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$r = \frac{520}{833}$

Decimal Form:

$r = 0.62424969 \dots$