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\frac{\frac{x+1}{x+1}-\frac{1}{x+1}}{x}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{x+1}{x+1}.
\frac{\frac{x+1-1}{x+1}}{x}
Since \frac{x+1}{x+1} and \frac{1}{x+1} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{x}{x+1}}{x}
Combine like terms in x+1-1.
\frac{x}{\left(x+1\right)x}
Express \frac{\frac{x}{x+1}}{x} as a single fraction.
\frac{1}{x+1}
Cancel out x in both numerator and denominator.
\frac{\frac{x+1}{x+1}-\frac{1}{x+1}}{x}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{x+1}{x+1}.
\frac{\frac{x+1-1}{x+1}}{x}
Since \frac{x+1}{x+1} and \frac{1}{x+1} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{x}{x+1}}{x}
Combine like terms in x+1-1.
\frac{x}{\left(x+1\right)x}
Express \frac{\frac{x}{x+1}}{x} as a single fraction.
\frac{1}{x+1}
Cancel out x in both numerator and denominator.