What is (11k)/(55k^2+22k) ?

The solution to (11k)/(55k^2+22k) is 1/(5k+2)

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simplify (11k)/(55k^2+22k)

simplify

\frac{11 k}{55 k ^{2} + 22 k}

\frac{1}{5 k + 2}

Solution steps

\frac{11 k}{55 k ^{2} + 22 k}

Factor

55 k^{2} + 22 k : 11 k (5 k + 2)

= \frac{11 k}{11 k ( 5 k + 2 )}

Cancel the common factor:

11

= \frac{k}{k ( 5 k + 2 )}

Cancel the common factor:

k

= \frac{1}{5 k + 2}

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