Evaluate
\frac{x+7}{x-4}
Expand
\frac{x+7}{x-4}
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\frac{5x-\left(4x-7\right)}{x-4}
Since \frac{5x}{x-4} and \frac{4x-7}{x-4} have the same denominator, subtract them by subtracting their numerators.
\frac{5x-4x+7}{x-4}
Do the multiplications in 5x-\left(4x-7\right).
\frac{x+7}{x-4}
Combine like terms in 5x-4x+7.
\frac{5x-\left(4x-7\right)}{x-4}
Since \frac{5x}{x-4} and \frac{4x-7}{x-4} have the same denominator, subtract them by subtracting their numerators.
\frac{5x-4x+7}{x-4}
Do the multiplications in 5x-\left(4x-7\right).
\frac{x+7}{x-4}
Combine like terms in 5x-4x+7.
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