Skip to main content
Evaluate
Tick mark Image
Expand
Tick mark Image
Graph

Similar Problems from Web Search

Share

\frac{\frac{x+2}{x-3}-\frac{5\left(x-3\right)}{x-3}}{\frac{x+2}{x-3}+1}
To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{x-3}{x-3}.
\frac{\frac{x+2-5\left(x-3\right)}{x-3}}{\frac{x+2}{x-3}+1}
Since \frac{x+2}{x-3} and \frac{5\left(x-3\right)}{x-3} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{x+2-5x+15}{x-3}}{\frac{x+2}{x-3}+1}
Do the multiplications in x+2-5\left(x-3\right).
\frac{\frac{-4x+17}{x-3}}{\frac{x+2}{x-3}+1}
Combine like terms in x+2-5x+15.
\frac{\frac{-4x+17}{x-3}}{\frac{x+2}{x-3}+\frac{x-3}{x-3}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{x-3}{x-3}.
\frac{\frac{-4x+17}{x-3}}{\frac{x+2+x-3}{x-3}}
Since \frac{x+2}{x-3} and \frac{x-3}{x-3} have the same denominator, add them by adding their numerators.
\frac{\frac{-4x+17}{x-3}}{\frac{2x-1}{x-3}}
Combine like terms in x+2+x-3.
\frac{\left(-4x+17\right)\left(x-3\right)}{\left(x-3\right)\left(2x-1\right)}
Divide \frac{-4x+17}{x-3} by \frac{2x-1}{x-3} by multiplying \frac{-4x+17}{x-3} by the reciprocal of \frac{2x-1}{x-3}.
\frac{-4x+17}{2x-1}
Cancel out x-3 in both numerator and denominator.
\frac{\frac{x+2}{x-3}-\frac{5\left(x-3\right)}{x-3}}{\frac{x+2}{x-3}+1}
To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{x-3}{x-3}.
\frac{\frac{x+2-5\left(x-3\right)}{x-3}}{\frac{x+2}{x-3}+1}
Since \frac{x+2}{x-3} and \frac{5\left(x-3\right)}{x-3} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{x+2-5x+15}{x-3}}{\frac{x+2}{x-3}+1}
Do the multiplications in x+2-5\left(x-3\right).
\frac{\frac{-4x+17}{x-3}}{\frac{x+2}{x-3}+1}
Combine like terms in x+2-5x+15.
\frac{\frac{-4x+17}{x-3}}{\frac{x+2}{x-3}+\frac{x-3}{x-3}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{x-3}{x-3}.
\frac{\frac{-4x+17}{x-3}}{\frac{x+2+x-3}{x-3}}
Since \frac{x+2}{x-3} and \frac{x-3}{x-3} have the same denominator, add them by adding their numerators.
\frac{\frac{-4x+17}{x-3}}{\frac{2x-1}{x-3}}
Combine like terms in x+2+x-3.
\frac{\left(-4x+17\right)\left(x-3\right)}{\left(x-3\right)\left(2x-1\right)}
Divide \frac{-4x+17}{x-3} by \frac{2x-1}{x-3} by multiplying \frac{-4x+17}{x-3} by the reciprocal of \frac{2x-1}{x-3}.
\frac{-4x+17}{2x-1}
Cancel out x-3 in both numerator and denominator.