Basic Math Examples

$t n = \frac{n!}{4 n}$

Step 1

Divide each term in $t n = \frac{n!}{4 n}$ by $n$ .

$\frac{t n}{n} = \frac{\frac{n!}{4 n}}{n}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $n$ .

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Step 2.1.1

Cancel the common factor.

$\frac{t n}{n} = \frac{\frac{n!}{4 n}}{n}$

Step 2.1.2

Divide $t$ by $1$ .

$t = \frac{\frac{n!}{4 n}}{n}$

Step 3

Simplify the right side.

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Step 3.1

Multiply the numerator by the reciprocal of the denominator.

$t = \frac{n!}{4 n} \cdot \frac{1}{n}$

Step 3.2

Multiply $\frac{n!}{4 n} \cdot \frac{1}{n}$ .

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Step 3.2.1

Multiply $\frac{n!}{4 n}$ by $\frac{1}{n}$ .

$t = \frac{n!}{4 n \cdot n}$

Step 3.2.2

Raise $n$ to the power of $1$ .

$t = \frac{n!}{4 (n^{1} n)}$

Step 3.2.3

Raise $n$ to the power of $1$ .

$t = \frac{n!}{4 (n^{1} n^{1})}$

Step 3.2.4

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$t = \frac{n!}{4 n^{1 + 1}}$

Step 3.2.5

Add $1$ and $1$ .

$t = \frac{n!}{4 n^{2}}$