Basic Math Examples

$\frac{8!}{2! 6!}$

Step 1

Rewrite $8!$ as $8 \cdot 7 \cdot 6!$ .

$\frac{8 \cdot 7 \cdot 6!}{2! 6!}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Cancel the common factor of $6!$ .

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Step 2.1.1

Cancel the common factor.

$\frac{8 \cdot 7 \cdot 6!}{2! 6!}$

Step 2.1.2

Rewrite the expression.

$\frac{8 \cdot 7}{2!}$

Step 2.2

Multiply $8$ by $7$ .

$\frac{56}{2!}$

Step 3

Simplify the denominator.

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Step 3.1

Expand $2!$ to $2 \cdot 1$ .

$\frac{56}{2 \cdot 1}$

Step 3.2

Multiply $2$ by $1$ .

$\frac{56}{2}$

Step 4

Divide $56$ by $2$ .

$28$