Finite Math Examples

$\frac{53!}{60!}$

Step 1

Rewrite $60!$ as $60 \cdot 59 \cdot 58 \cdot 57 \cdot 56 \cdot 55 \cdot 54 \cdot 53!$ .

$\frac{53!}{60 \cdot 59 \cdot 58 \cdot 57 \cdot 56 \cdot 55 \cdot 54 \cdot 53!}$

Step 2

Cancel the common factor of $53!$ .

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Step 2.1

Cancel the common factor.

$\frac{53!}{60 \cdot 59 \cdot 58 \cdot 57 \cdot 56 \cdot 55 \cdot 54 \cdot 53!}$

Step 2.2

Rewrite the expression.

$\frac{1}{60 \cdot 59 \cdot 58 \cdot 57 \cdot 56 \cdot 55 \cdot 54}$

Step 3

Simplify the denominator.

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Step 3.1

Multiply $60$ by $59$ .

$\frac{1}{3540 \cdot 58 \cdot 57 \cdot 56 \cdot 55 \cdot 54}$

Step 3.2

Multiply $3540$ by $58$ .

$\frac{1}{205320 \cdot 57 \cdot 56 \cdot 55 \cdot 54}$

Step 3.3

Multiply $205320$ by $57$ .

$\frac{1}{11703240 \cdot 56 \cdot 55 \cdot 54}$

Step 3.4

Multiply $11703240$ by $56$ .

$\frac{1}{655381440 \cdot 55 \cdot 54}$

Step 3.5

Multiply $655381440$ by $55$ .

$\frac{1}{36045979200 \cdot 54}$

Step 3.6

Multiply $36045979200$ by $54$ .

$\frac{1}{1946482876800}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{1946482876800}$

Decimal Form:

$5.13747134 \cdot 10^{- 13}$