Finite Math Examples

$\frac{26 \cdot 25 \cdot 24 \cdot 23 \cdot 22 \cdot 21}{10 \cdot 9}$

Step 1

Cancel the common factor of $26$ and $10$ .

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Step 1.1

Factor $2$ out of $26 \cdot 25 \cdot 24 \cdot 23 \cdot 22 \cdot 21$ .

$\frac{2 (13 \cdot 25 \cdot 24 \cdot 23 \cdot 22 \cdot 21)}{10 \cdot 9}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $10 \cdot 9$ .

$\frac{2 (13 \cdot 25 \cdot 24 \cdot 23 \cdot 22 \cdot 21)}{2 (5 \cdot 9)}$

Step 1.2.2

Cancel the common factor.

$\frac{2 (13 \cdot 25 \cdot 24 \cdot 23 \cdot 22 \cdot 21)}{2 (5 \cdot 9)}$

Step 1.2.3

Rewrite the expression.

$\frac{13 \cdot 25 \cdot 24 \cdot 23 \cdot 22 \cdot 21}{5 \cdot 9}$

Step 2

Cancel the common factor of $25$ and $5$ .

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Step 2.1

Factor $5$ out of $13 \cdot 25 \cdot 24 \cdot 23 \cdot 22 \cdot 21$ .

$\frac{5 (13 \cdot 5 \cdot 24 \cdot 23 \cdot 22 \cdot 21)}{5 \cdot 9}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $5$ out of $5 \cdot 9$ .

$\frac{5 (13 \cdot 5 \cdot 24 \cdot 23 \cdot 22 \cdot 21)}{5 (9)}$

Step 2.2.2

Cancel the common factor.

$\frac{5 (13 \cdot 5 \cdot 24 \cdot 23 \cdot 22 \cdot 21)}{5 \cdot 9}$

Step 2.2.3

Rewrite the expression.

$\frac{13 \cdot 5 \cdot 24 \cdot 23 \cdot 22 \cdot 21}{9}$

Step 3

Cancel the common factor of $24$ and $9$ .

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Step 3.1

Factor $3$ out of $13 \cdot 5 \cdot 24 \cdot 23 \cdot 22 \cdot 21$ .

$\frac{3 (13 \cdot 5 \cdot 8 \cdot 23 \cdot 22 \cdot 21)}{9}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $3$ out of $9$ .

$\frac{3 (13 \cdot 5 \cdot 8 \cdot 23 \cdot 22 \cdot 21)}{3 (3)}$

Step 3.2.2

Cancel the common factor.

$\frac{3 (13 \cdot 5 \cdot 8 \cdot 23 \cdot 22 \cdot 21)}{3 \cdot 3}$

Step 3.2.3

Rewrite the expression.

$\frac{13 \cdot 5 \cdot 8 \cdot 23 \cdot 22 \cdot 21}{3}$

Step 4

Cancel the common factor of $21$ and $3$ .

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Step 4.1

Factor $3$ out of $13 \cdot 5 \cdot 8 \cdot 23 \cdot 22 \cdot 21$ .

$\frac{3 (13 \cdot 5 \cdot 8 \cdot 23 \cdot 22 \cdot 7)}{3}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $3$ out of $3$ .

$\frac{3 (13 \cdot 5 \cdot 8 \cdot 23 \cdot 22 \cdot 7)}{3 (1)}$

Step 4.2.2

Cancel the common factor.

$\frac{3 (13 \cdot 5 \cdot 8 \cdot 23 \cdot 22 \cdot 7)}{3 \cdot 1}$

Step 4.2.3

Rewrite the expression.

$\frac{13 \cdot 5 \cdot 8 \cdot 23 \cdot 22 \cdot 7}{1}$

Step 4.2.4

Divide $13 \cdot 5 \cdot 8 \cdot 23 \cdot 22 \cdot 7$ by $1$ .

$13 \cdot 5 \cdot 8 \cdot 23 \cdot 22 \cdot 7$

Step 5

Multiply $13 \cdot 5 \cdot 8 \cdot 23 \cdot 22 \cdot 7$ .

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Step 5.1

Multiply $13$ by $5$ .

$65 \cdot 8 \cdot 23 \cdot 22 \cdot 7$

Step 5.2

Multiply $65$ by $8$ .

$520 \cdot 23 \cdot 22 \cdot 7$

Step 5.3

Multiply $520$ by $23$ .

$11960 \cdot 22 \cdot 7$

Step 5.4

Multiply $11960$ by $22$ .

$263120 \cdot 7$

Step 5.5

Multiply $263120$ by $7$ .

$1841840$