Basic Math Examples

$\frac{8! 7!}{9! 5!}$

Step 1

Rewrite

$9!$ as

$9 \cdot 8!$ .

$\frac{8! 7!}{9 \cdot 8! 5!}$

Step 2

Cancel the common factor of

$8!$ .

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Step 2.1

Cancel the common factor.

$\frac{8! 7!}{9 \cdot 8! 5!}$

Step 2.2

Rewrite the expression.

$\frac{7!}{95!}$

$\frac{7!}{95!}$

Step 3

Rewrite

$7!$ as

$7 \cdot 6 \cdot 5!$ .

$\frac{7 \cdot 6 \cdot 5!}{95!}$

Step 4

Cancel the common factor of

$6$ and

$9$ .

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Step 4.1

Factor

$3$ out of

$7 \cdot 6 \cdot 5!$ .

$\frac{3 (7 \cdot 2 \cdot 5!)}{95!}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor

$3$ out of

$95!$ .

$\frac{3 (7 \cdot 2 \cdot 5!)}{3 (35!)}$

Step 4.2.2

Cancel the common factor.

$\frac{3 (7 \cdot 2 \cdot 5!)}{3 (35!)}$

Step 4.2.3

Rewrite the expression.

$\frac{7 \cdot 2 \cdot 5!}{35!}$

$\frac{7 \cdot 2 \cdot 5!}{35!}$

$\frac{7 \cdot 2 \cdot 5!}{35!}$

Step 5

Cancel the common factor of

$5!$ .

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Step 5.1

Cancel the common factor.

$\frac{7 \cdot 2 \cdot 5!}{3 5!}$

Step 5.2

Rewrite the expression.

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

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

Step 6

Multiply

$7$ by

$2$ .

$\frac{14}{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{14}{3}$

Decimal Form:

$4.\overline{6}$

Mixed Number Form:

$4 \frac{2}{3}$

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