Finite Math Examples

$24 = (1750) (\frac{19}{36}) r$

Step 1

Rewrite the equation as $1750 (\frac{19}{36}) \cdot r = 24$ .

$1750 (\frac{19}{36}) \cdot r = 24$

Step 2

Simplify.

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Step 2.1

Cancel the common factor of $2$ .

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Step 2.1.1

Factor $2$ out of $1750$ .

$2 (875) \frac{19}{36} \cdot r = 24$

Step 2.1.2

Factor $2$ out of $36$ .

$2 \cdot 875 \frac{19}{2 \cdot 18} \cdot r = 24$

Step 2.1.3

Cancel the common factor.

$2 \cdot 875 \frac{19}{2 \cdot 18} \cdot r = 24$

Step 2.1.4

Rewrite the expression.

$875 (\frac{19}{18}) \cdot r = 24$

Step 2.2

Combine $875$ and $\frac{19}{18}$ .

$\frac{875 \cdot 19}{18} \cdot r = 24$

Step 2.3

Multiply $875$ by $19$ .

$\frac{16625}{18} \cdot r = 24$

Step 3

Multiply each term in $\frac{16625}{18} r = 24$ by $\frac{18}{16625}$ to eliminate the fractions.

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Step 3.1

Multiply each term in $\frac{16625}{18} r = 24$ by $\frac{18}{16625}$ .

$\frac{16625}{18} r \frac{18}{16625} = 24 (\frac{18}{16625})$

Step 3.2

Simplify the left side.

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Step 3.2.1

Combine $\frac{16625}{18}$ and $r$ .

$\frac{16625 r}{18} \cdot \frac{18}{16625} = 24 (\frac{18}{16625})$

Step 3.2.2

Cancel the common factor of $16625$ .

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Step 3.2.2.1

Factor $16625$ out of $16625 r$ .

$\frac{16625 (r)}{18} \cdot \frac{18}{16625} = 24 (\frac{18}{16625})$

Step 3.2.2.2

Cancel the common factor.

$\frac{16625 r}{18} \cdot \frac{18}{16625} = 24 (\frac{18}{16625})$

Step 3.2.2.3

Rewrite the expression.

$\frac{r}{18} \cdot 18 = 24 (\frac{18}{16625})$

Step 3.2.3

Cancel the common factor of $18$ .

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Step 3.2.3.1

Cancel the common factor.

$\frac{r}{18} \cdot 18 = 24 (\frac{18}{16625})$

Step 3.2.3.2

Rewrite the expression.

$r = 24 (\frac{18}{16625})$

Step 3.3

Simplify the right side.

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Step 3.3.1

Multiply $24 (\frac{18}{16625})$ .

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Step 3.3.1.1

Combine $24$ and $\frac{18}{16625}$ .

$r = \frac{24 \cdot 18}{16625}$

Step 3.3.1.2

Multiply $24$ by $18$ .

$r = \frac{432}{16625}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$r = \frac{432}{16625}$

Decimal Form:

$r = 0.02598496 \dots$