Evaluate
\frac{2x+1}{x+3}
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\frac{2x+1}{x+3}
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\frac{3x+2-\left(x+1\right)}{x+3}
Since \frac{3x+2}{x+3} and \frac{x+1}{x+3} have the same denominator, subtract them by subtracting their numerators.
\frac{3x+2-x-1}{x+3}
Do the multiplications in 3x+2-\left(x+1\right).
\frac{2x+1}{x+3}
Combine like terms in 3x+2-x-1.
\frac{3x+2-\left(x+1\right)}{x+3}
Since \frac{3x+2}{x+3} and \frac{x+1}{x+3} have the same denominator, subtract them by subtracting their numerators.
\frac{3x+2-x-1}{x+3}
Do the multiplications in 3x+2-\left(x+1\right).
\frac{2x+1}{x+3}
Combine like terms in 3x+2-x-1.
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