Algebra Examples

$\frac{3! + 0!}{2! \cdot 1!}$

Step 1

Simplify the numerator.

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Step 1.1

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

$\frac{3 \cdot 2 \cdot 1 + 0!}{2! \cdot 1!}$

Step 1.2

Multiply $3 \cdot 2 \cdot 1$ .

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Step 1.2.1

Multiply $3$ by $2$ .

$\frac{6 \cdot 1 + 0!}{2! \cdot 1!}$

Step 1.2.2

Multiply $6$ by $1$ .

$\frac{6 + 0!}{2! \cdot 1!}$

$\frac{6 + 0!}{2! \cdot 1!}$

Step 1.3

Expand $0!$ to $1$ .

$\frac{6 + 1}{2! \cdot 1!}$

Step 1.4

Add $6$ and $1$ .

$\frac{7}{2! \cdot 1!}$

$\frac{7}{2! \cdot 1!}$

Step 2

Simplify the denominator.

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Step 2.1

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

$\frac{7}{2 \cdot 11!}$

Step 2.2

Multiply $2$ by $1$ .

$\frac{7}{21!}$

Step 2.3

Expand $1!$ to $1$ .

$\frac{7}{2 \cdot 1}$

$\frac{7}{2 \cdot 1}$

Step 3

Multiply $2$ by $1$ .

$\frac{7}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{2}$

Decimal Form:

$3.5$

Mixed Number Form:

$3 \frac{1}{2}$

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