Finite Math Examples

$\frac{17}{\frac{20}{\frac{15}{16}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$17 \frac{\frac{15}{16}}{20}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$17 (\frac{15}{16} \cdot \frac{1}{20})$

Step 3

Cancel the common factor of $5$ .

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Step 3.1

Factor $5$ out of $15$ .

$17 (\frac{5 (3)}{16} \cdot \frac{1}{20})$

Step 3.2

Factor $5$ out of $20$ .

$17 (\frac{5 \cdot 3}{16} \cdot \frac{1}{5 \cdot 4})$

Step 3.3

Cancel the common factor.

$17 (\frac{5 \cdot 3}{16} \cdot \frac{1}{5 \cdot 4})$

Step 3.4

Rewrite the expression.

$17 (\frac{3}{16} \cdot \frac{1}{4})$

Step 4

Multiply $\frac{3}{16}$ by $\frac{1}{4}$ .

$17 \frac{3}{16 \cdot 4}$

Step 5

Multiply $16$ by $4$ .

$17 (\frac{3}{64})$

Step 6

Multiply $17 (\frac{3}{64})$ .

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Step 6.1

Combine $17$ and $\frac{3}{64}$ .

$\frac{17 \cdot 3}{64}$

Step 6.2

Multiply $17$ by $3$ .

$\frac{51}{64}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{51}{64}$

Decimal Form:

$0.796875$