Pre-Algebra Examples

$\frac{6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{3 \cdot (1 (3 \cdot 2 \cdot 1))}$

Step 1

Cancel the common factor of $6$ and $3$ .

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Step 1.1

Factor $3$ out of $6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1$ .

$\frac{3 (2 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1)}{3 \cdot (1 (3 \cdot 2 \cdot 1))}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $3$ out of $3 \cdot (1 (3 \cdot 2 \cdot 1))$ .

$\frac{3 (2 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1)}{3 (1 (3 \cdot 2 \cdot 1))}$

Step 1.2.2

Cancel the common factor.

$\frac{3 (2 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1)}{3 (1 (3 \cdot 2 \cdot 1))}$

Step 1.2.3

Rewrite the expression.

$\frac{2 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{1 (3 \cdot 2 \cdot 1)}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Cancel the common factor.

$\frac{2 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{1 (3 \cdot 2 \cdot 1)}$

Step 2.2

Rewrite the expression.

$\frac{5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{1 (3 \cdot 1)}$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Cancel the common factor.

$\frac{5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{1 (3 \cdot 1)}$

Step 3.2

Rewrite the expression.

$\frac{5 \cdot 4 \cdot 2 \cdot 1}{1 \cdot (1)}$

Step 4

Cancel the common factor of $1$ .

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Step 4.1

Cancel the common factor.

$\frac{5 \cdot 4 \cdot 2 \cdot 1}{1 \cdot 1}$

Step 4.2

Divide $5 \cdot 4 \cdot 2$ by $1$ .

$5 \cdot 4 \cdot 2$

Step 5

Multiply $5 \cdot 4 \cdot 2$ .

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Step 5.1

Multiply $5$ by $4$ .

$20 \cdot 2$

Step 5.2

Multiply $20$ by $2$ .

$40$