Evaluate
\frac{a+14}{2\left(a-6\right)}
Factor
\frac{a+14}{2\left(a-6\right)}
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\frac{7}{a-6}+\frac{a}{2\left(a-6\right)}
Factor 2a-12.
\frac{7\times 2}{2\left(a-6\right)}+\frac{a}{2\left(a-6\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of a-6 and 2\left(a-6\right) is 2\left(a-6\right). Multiply \frac{7}{a-6} times \frac{2}{2}.
\frac{7\times 2+a}{2\left(a-6\right)}
Since \frac{7\times 2}{2\left(a-6\right)} and \frac{a}{2\left(a-6\right)} have the same denominator, add them by adding their numerators.
\frac{14+a}{2\left(a-6\right)}
Do the multiplications in 7\times 2+a.
\frac{14+a}{2a-12}
Expand 2\left(a-6\right).
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