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\frac{\frac{c-1}{c-1}+\frac{1}{c-1}}{1-\frac{1}{c-1}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{c-1}{c-1}.
\frac{\frac{c-1+1}{c-1}}{1-\frac{1}{c-1}}
Since \frac{c-1}{c-1} and \frac{1}{c-1} have the same denominator, add them by adding their numerators.
\frac{\frac{c}{c-1}}{1-\frac{1}{c-1}}
Combine like terms in c-1+1.
\frac{\frac{c}{c-1}}{\frac{c-1}{c-1}-\frac{1}{c-1}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{c-1}{c-1}.
\frac{\frac{c}{c-1}}{\frac{c-1-1}{c-1}}
Since \frac{c-1}{c-1} and \frac{1}{c-1} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{c}{c-1}}{\frac{c-2}{c-1}}
Combine like terms in c-1-1.
\frac{c\left(c-1\right)}{\left(c-1\right)\left(c-2\right)}
Divide \frac{c}{c-1} by \frac{c-2}{c-1} by multiplying \frac{c}{c-1} by the reciprocal of \frac{c-2}{c-1}.
\frac{c}{c-2}
Cancel out c-1 in both numerator and denominator.
\frac{\frac{c-1}{c-1}+\frac{1}{c-1}}{1-\frac{1}{c-1}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{c-1}{c-1}.
\frac{\frac{c-1+1}{c-1}}{1-\frac{1}{c-1}}
Since \frac{c-1}{c-1} and \frac{1}{c-1} have the same denominator, add them by adding their numerators.
\frac{\frac{c}{c-1}}{1-\frac{1}{c-1}}
Combine like terms in c-1+1.
\frac{\frac{c}{c-1}}{\frac{c-1}{c-1}-\frac{1}{c-1}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{c-1}{c-1}.
\frac{\frac{c}{c-1}}{\frac{c-1-1}{c-1}}
Since \frac{c-1}{c-1} and \frac{1}{c-1} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{c}{c-1}}{\frac{c-2}{c-1}}
Combine like terms in c-1-1.
\frac{c\left(c-1\right)}{\left(c-1\right)\left(c-2\right)}
Divide \frac{c}{c-1} by \frac{c-2}{c-1} by multiplying \frac{c}{c-1} by the reciprocal of \frac{c-2}{c-1}.
\frac{c}{c-2}
Cancel out c-1 in both numerator and denominator.