Evaluate (2!8!)/(4!6!)

$\frac{2! 8!}{4! 6!}$

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

$\frac{2! (8 \cdot 7 \cdot 6!)}{4! 6!}$

Cancel the common factor of $6!$ .

Cancel the common factor.

$\frac{2! (8 \cdot 7 \cdot 6!)}{4! 6!}$

Rewrite the expression.

$\frac{2! (8 \cdot 7)}{4!}$

$\frac{2! (8 \cdot 7)}{4!}$

Rewrite $4!$ as $4 \cdot 3 \cdot 2!$ .

$\frac{2! (8 \cdot 7)}{4 \cdot 3 \cdot 2!}$

Cancel the common factor of $2!$ .

Cancel the common factor.

$\frac{2! (8 \cdot 7)}{4 \cdot 3 \cdot 2!}$

Rewrite the expression.

$\frac{8 \cdot 7}{4 \cdot 3}$

$\frac{8 \cdot 7}{4 \cdot 3}$

Cancel the common factor of $8$ and $4$ .

Factor $4$ out of $8 \cdot 7$ .

$\frac{4 (2 \cdot 7)}{4 \cdot 3}$

Cancel the common factors.

Factor $4$ out of $4 \cdot 3$ .

$\frac{4 (2 \cdot 7)}{4 (3)}$

Cancel the common factor.

$\frac{4 (2 \cdot 7)}{4 \cdot 3}$

Rewrite the expression.

$\frac{2 \cdot 7}{3}$

$\frac{2 \cdot 7}{3}$

$\frac{2 \cdot 7}{3}$

Multiply $2$ by $7$ .

$\frac{14}{3}$

The result can be shown in multiple forms.

Exact Form:

$\frac{14}{3}$

Decimal Form:

$4.\overline{6}$

Mixed Number Form:

$4 \frac{2}{3}$

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