Finite Math Examples

$q = \frac{π}{216 - \frac{π}{4}}$

Step 1

Simplify the denominator.

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Step 1.1

To write $216$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$q = \frac{π}{216 \cdot \frac{4}{4} - \frac{π}{4}}$

Step 1.2

Combine $216$ and $\frac{4}{4}$ .

$q = \frac{π}{\frac{216 \cdot 4}{4} - \frac{π}{4}}$

Step 1.3

Combine the numerators over the common denominator.

$q = \frac{π}{\frac{216 \cdot 4 - π}{4}}$

Step 1.4

Multiply $216$ by $4$ .

$q = \frac{π}{\frac{864 - π}{4}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$q = π \frac{4}{864 - π}$

Step 3

Combine $π$ and $\frac{4}{864 - π}$ .

$q = \frac{π \cdot 4}{864 - π}$

Step 4

Move $4$ to the left of $π$ .

$q = \frac{4 π}{864 - π}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$q = \frac{4 π}{864 - π}$

Decimal Form:

$q = 0.01459748 \dots$