Finite Math Examples

$\frac{365}{365} \cdot \frac{364}{365} \cdot \frac{363}{365} \cdot \frac{362}{365} \cdot \frac{361}{365} \cdot \frac{360}{365} \cdot \frac{359}{365} \cdot \frac{358}{365}$

Step 1

Cancel the common factor of $365$ .

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Step 1.1

Cancel the common factor.

$\frac{365}{365} \cdot \frac{364}{365} \cdot \frac{363}{365} \cdot \frac{362}{365} \cdot \frac{361}{365} \cdot \frac{360}{365} \cdot \frac{359}{365} \cdot \frac{358}{365}$

Step 1.2

Rewrite the expression.

$1 \cdot \frac{364}{365} \cdot \frac{363}{365} \cdot \frac{362}{365} \cdot \frac{361}{365} \cdot \frac{360}{365} \cdot \frac{359}{365} \cdot \frac{358}{365}$

Step 2

Multiply $\frac{364}{365}$ by $1$ .

$\frac{364}{365} \cdot \frac{363}{365} \cdot \frac{362}{365} \cdot \frac{361}{365} \cdot \frac{360}{365} \cdot \frac{359}{365} \cdot \frac{358}{365}$

Step 3

Multiply $\frac{364}{365} \cdot \frac{363}{365}$ .

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Step 3.1

Multiply $\frac{364}{365}$ by $\frac{363}{365}$ .

$\frac{364 \cdot 363}{365 \cdot 365} \cdot \frac{362}{365} \cdot \frac{361}{365} \cdot \frac{360}{365} \cdot \frac{359}{365} \cdot \frac{358}{365}$

Step 3.2

Multiply $364$ by $363$ .

$\frac{132132}{365 \cdot 365} \cdot \frac{362}{365} \cdot \frac{361}{365} \cdot \frac{360}{365} \cdot \frac{359}{365} \cdot \frac{358}{365}$

Step 3.3

Multiply $365$ by $365$ .

$\frac{132132}{133225} \cdot \frac{362}{365} \cdot \frac{361}{365} \cdot \frac{360}{365} \cdot \frac{359}{365} \cdot \frac{358}{365}$

Step 4

Multiply $\frac{132132}{133225} \cdot \frac{362}{365}$ .

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Step 4.1

Multiply $\frac{132132}{133225}$ by $\frac{362}{365}$ .

$\frac{132132 \cdot 362}{133225 \cdot 365} \cdot \frac{361}{365} \cdot \frac{360}{365} \cdot \frac{359}{365} \cdot \frac{358}{365}$

Step 4.2

Multiply $132132$ by $362$ .

$\frac{47831784}{133225 \cdot 365} \cdot \frac{361}{365} \cdot \frac{360}{365} \cdot \frac{359}{365} \cdot \frac{358}{365}$

Step 4.3

Multiply $133225$ by $365$ .

$\frac{47831784}{48627125} \cdot \frac{361}{365} \cdot \frac{360}{365} \cdot \frac{359}{365} \cdot \frac{358}{365}$

Step 5

Multiply $\frac{47831784}{48627125} \cdot \frac{361}{365}$ .

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Step 5.1

Multiply $\frac{47831784}{48627125}$ by $\frac{361}{365}$ .

$\frac{47831784 \cdot 361}{48627125 \cdot 365} \cdot \frac{360}{365} \cdot \frac{359}{365} \cdot \frac{358}{365}$

Step 5.2

Multiply $47831784$ by $361$ .

$\frac{17267274024}{48627125 \cdot 365} \cdot \frac{360}{365} \cdot \frac{359}{365} \cdot \frac{358}{365}$

Step 5.3

Multiply $48627125$ by $365$ .

$\frac{17267274024}{17748900625} \cdot \frac{360}{365} \cdot \frac{359}{365} \cdot \frac{358}{365}$

Step 6

Cancel the common factor of $5$ .

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Step 6.1

Factor $5$ out of $17748900625$ .

$\frac{17267274024}{5 (3549780125)} \cdot \frac{360}{365} \cdot \frac{359}{365} \cdot \frac{358}{365}$

Step 6.2

Factor $5$ out of $360$ .

$\frac{17267274024}{5 \cdot 3549780125} \cdot \frac{5 \cdot 72}{365} \cdot \frac{359}{365} \cdot \frac{358}{365}$

Step 6.3

Cancel the common factor.

$\frac{17267274024}{5 \cdot 3549780125} \cdot \frac{5 \cdot 72}{365} \cdot \frac{359}{365} \cdot \frac{358}{365}$

Step 6.4

Rewrite the expression.

$\frac{17267274024}{3549780125} \cdot \frac{72}{365} \cdot \frac{359}{365} \cdot \frac{358}{365}$

Step 7

Multiply $\frac{17267274024}{3549780125}$ by $\frac{72}{365}$ .

$\frac{17267274024 \cdot 72}{3549780125 \cdot 365} \cdot \frac{359}{365} \cdot \frac{358}{365}$

Step 8

Multiply.

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Step 8.1

Multiply $17267274024$ by $72$ .

$\frac{1243243729728}{3549780125 \cdot 365} \cdot \frac{359}{365} \cdot \frac{358}{365}$

Step 8.2

Multiply $3549780125$ by $365$ .

$\frac{1243243729728}{1295669745625} \cdot \frac{359}{365} \cdot \frac{358}{365}$

Step 9

Multiply $\frac{1243243729728}{1295669745625} \cdot \frac{359}{365}$ .

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Step 9.1

Multiply $\frac{1243243729728}{1295669745625}$ by $\frac{359}{365}$ .

$\frac{1243243729728 \cdot 359}{1295669745625 \cdot 365} \cdot \frac{358}{365}$

Step 9.2

Multiply $1243243729728$ by $359$ .

$\frac{446324498972352}{1295669745625 \cdot 365} \cdot \frac{358}{365}$

Step 9.3

Multiply $1295669745625$ by $365$ .

$\frac{446324498972352}{472919457153125} \cdot \frac{358}{365}$

Step 10

Multiply $\frac{446324498972352}{472919457153125} \cdot \frac{358}{365}$ .

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Step 10.1

Multiply $\frac{446324498972352}{472919457153125}$ by $\frac{358}{365}$ .

$\frac{446324498972352 \cdot 358}{472919457153125 \cdot 365}$

Step 10.2

Multiply $446324498972352$ by $358$ .

$\frac{159784170632102016}{472919457153125 \cdot 365}$

Step 10.3

Multiply $472919457153125$ by $365$ .

$\frac{159784170632102016}{172615601860890625}$

Step 11

The result can be shown in multiple forms.

Exact Form:

$\frac{159784170632102016}{172615601860890625}$

Decimal Form:

$0.92566470 \dots$