Evaluate
\frac{27x+100}{2\left(x+4\right)}
Factor
\frac{27x+100}{2\left(x+4\right)}
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\frac{2x}{2\left(x+4\right)}+\frac{25\left(x+4\right)}{2\left(x+4\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x+4 and 2 is 2\left(x+4\right). Multiply \frac{x}{x+4} times \frac{2}{2}. Multiply \frac{25}{2} times \frac{x+4}{x+4}.
\frac{2x+25\left(x+4\right)}{2\left(x+4\right)}
Since \frac{2x}{2\left(x+4\right)} and \frac{25\left(x+4\right)}{2\left(x+4\right)} have the same denominator, add them by adding their numerators.
\frac{2x+25x+100}{2\left(x+4\right)}
Do the multiplications in 2x+25\left(x+4\right).
\frac{27x+100}{2\left(x+4\right)}
Combine like terms in 2x+25x+100.
\frac{27x+100}{2x+8}
Expand 2\left(x+4\right).
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