Simplify (36k^3m)/(24k^4mn^5)

$\frac{36 k^{3} m}{24 k^{4} m n^{5}}$

Step 1

Cancel the common factor of $36$ and $24$ .

Factor $12$ out of $36 k^{3} m$ .

$\frac{12 (3 k^{3} m)}{24 k^{4} m n^{5}}$

Cancel the common factors.

Factor $12$ out of $24 k^{4} m n^{5}$ .

$\frac{12 (3 k^{3} m)}{12 (2 k^{4} m n^{5})}$

Cancel the common factor.

$\frac{12 (3 k^{3} m)}{12 (2 k^{4} m n^{5})}$

Rewrite the expression.

$\frac{3 k^{3} m}{2 k^{4} m n^{5}}$

$\frac{3 k^{3} m}{2 k^{4} m n^{5}}$

$\frac{3 k^{3} m}{2 k^{4} m n^{5}}$

Step 2

Cancel the common factor of $k^{3}$ and $k^{4}$ .

Factor $k^{3}$ out of $3 k^{3} m$ .

$\frac{k^{3} (3 m)}{2 k^{4} m n^{5}}$

Cancel the common factors.

Factor $k^{3}$ out of $2 k^{4} m n^{5}$ .

$\frac{k^{3} (3 m)}{k^{3} (2 k m n^{5})}$

Cancel the common factor.

$\frac{k^{3} (3 m)}{k^{3} (2 k m n^{5})}$

Rewrite the expression.

$\frac{3 m}{2 k m n^{5}}$

$\frac{3 m}{2 k m n^{5}}$

$\frac{3 m}{2 k m n^{5}}$

Step 3

Cancel the common factor of $m$ .

Cancel the common factor.

$\frac{3 m}{2 k m n^{5}}$

Rewrite the expression.

$\frac{3}{2 k n^{5}}$

$\frac{3}{2 k n^{5}}$

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