Basic Math Examples

\frac{7! 5!}{6! 8!}

$\frac{7! 5!}{6! 8!}$

Step 1

Rewrite

8!

$8!$ as

8 \cdot 7!

$8 \cdot 7!$ .

\frac{7! 5!}{6! (8 \cdot 7!)}

$\frac{7! 5!}{6! (8 \cdot 7!)}$

Step 2

Cancel the common factor of

7!

$7!$ .

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Step 2.1

Cancel the common factor.

$\frac{7! 5!}{6! (8 \cdot 7!)}$

Step 2.2

Rewrite the expression.

$\frac{5!}{6! \cdot (8)}$

$\frac{5!}{6! \cdot (8)}$

Step 3

Rewrite

$6!$ as

$6 \cdot 5!$ .

$\frac{5!}{6 \cdot 5! \cdot 8}$

Step 4

Cancel the common factor of

$5!$ .

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Step 4.1

Cancel the common factor.

$\frac{5!}{6 \cdot 5! \cdot 8}$

Step 4.2

Rewrite the expression.

$\frac{1}{6 \cdot 8}$

$\frac{1}{6 \cdot 8}$

Step 5

Multiply

$6$ by

$8$ .

$\frac{1}{48}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{48}$

Decimal Form:

$0.0208\overline{3}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$