Simplify (n^2+7n)/(4n^2+28n)

$\frac{n^{2} + 7 n}{4 n^{2} + 28 n}$

Factor $n$ out of $n^{2} + 7 n$ .

Factor $n$ out of $n^{2}$ .

$\frac{n \cdot n + 7 n}{4 n^{2} + 28 n}$

Factor $n$ out of $7 n$ .

$\frac{n \cdot n + n \cdot 7}{4 n^{2} + 28 n}$

Factor $n$ out of $n \cdot n + n \cdot 7$ .

$\frac{n (n + 7)}{4 n^{2} + 28 n}$

$\frac{n (n + 7)}{4 n^{2} + 28 n}$

Factor $4 n$ out of $4 n^{2} + 28 n$ .

Factor $4 n$ out of $4 n^{2}$ .

$\frac{n (n + 7)}{4 n (n) + 28 n}$

Factor $4 n$ out of $28 n$ .

$\frac{n (n + 7)}{4 n (n) + 4 n (7)}$

Factor $4 n$ out of $4 n (n) + 4 n (7)$ .

$\frac{n (n + 7)}{4 n (n + 7)}$

$\frac{n (n + 7)}{4 n (n + 7)}$

Cancel the common factor of $n$ .

Cancel the common factor.

$\frac{n (n + 7)}{4 n (n + 7)}$

Rewrite the expression.

$\frac{n + 7}{4 (n + 7)}$

$\frac{n + 7}{4 (n + 7)}$

Cancel the common factor of $n + 7$ .

Cancel the common factor.

$\frac{n + 7}{4 (n + 7)}$

Rewrite the expression.

$\frac{1}{4}$

$\frac{1}{4}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$

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