Solve 3/k+4+k+4/5k-1 | Microsoft Math Solver

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\frac{3\left(5k-1\right)}{\left(5k-1\right)\left(k+4\right)}+\frac{\left(k+4\right)\left(k+4\right)}{\left(5k-1\right)\left(k+4\right)}

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of k+4 and 5k-1 is \left(5k-1\right)\left(k+4\right). Multiply \frac{3}{k+4} times \frac{5k-1}{5k-1}. Multiply \frac{k+4}{5k-1} times \frac{k+4}{k+4}.

\frac{3\left(5k-1\right)+\left(k+4\right)\left(k+4\right)}{\left(5k-1\right)\left(k+4\right)}

Since \frac{3\left(5k-1\right)}{\left(5k-1\right)\left(k+4\right)} and \frac{\left(k+4\right)\left(k+4\right)}{\left(5k-1\right)\left(k+4\right)} have the same denominator, add them by adding their numerators.

\frac{15k-3+k^{2}+4k+4k+16}{\left(5k-1\right)\left(k+4\right)}

Do the multiplications in 3\left(5k-1\right)+\left(k+4\right)\left(k+4\right).

\frac{23k+13+k^{2}}{\left(5k-1\right)\left(k+4\right)}

Combine like terms in 15k-3+k^{2}+4k+4k+16.