Basic Math Examples

$\frac{9!}{3! 6!}$

Step 1

Rewrite $9!$ as $9 \cdot 8 \cdot 7 \cdot 6!$ .

$\frac{9 \cdot 8 \cdot 7 \cdot 6!}{3! 6!}$

Step 2

Cancel the common factor of $6!$ .

Tap for more steps...

Step 2.1

Cancel the common factor.

$\frac{9 \cdot 8 \cdot 7 \cdot 6!}{3! 6!}$

Step 2.2

Rewrite the expression.

$\frac{9 \cdot 8 \cdot 7}{3!}$

$\frac{9 \cdot 8 \cdot 7}{3!}$

Step 3

Simplify the numerator.

Tap for more steps...

Step 3.1

Multiply $9$ by $8$ .

$\frac{72 \cdot 7}{3!}$

Step 3.2

Multiply $72$ by $7$ .

$\frac{504}{3!}$

$\frac{504}{3!}$

Step 4

Simplify the denominator.

Tap for more steps...

Step 4.1

Expand $3!$ to $3 \cdot 2 \cdot 1$ .

$\frac{504}{3 \cdot 2 \cdot 1}$

Step 4.2

Multiply $3 \cdot 2 \cdot 1$ .

Tap for more steps...

Step 4.2.1

Multiply $3$ by $2$ .

$\frac{504}{6 \cdot 1}$

Step 4.2.2

Multiply $6$ by $1$ .

$\frac{504}{6}$

$\frac{504}{6}$

$\frac{504}{6}$

Step 5

Divide $504$ by $6$ .

$84$

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