Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.4 - Rational Expressions - 1.4 Exercises: 62

Answer

$\frac{c}{c-2}$

Work Step by Step

Looking at the denominator of the fraction: Find the LCD (i.e. $c-1$) and adjust the $1$ accordingly. This then becomes: $\frac{c-2}{c-1}$ Looking at the numerator of the fraction: Find the LCD (i.e. $c-1$) and adjust the $1$ accordingly. This then becomes: $\frac{c}{c-1}$ So the fraction is now: $=\frac{\frac{c}{c-1}}{\frac{c-2}{c-1}}$ Flip the denominator and multiply: $=\frac{c}{c-1}\times\frac{c-1}{c-2}$ Cancel out any common factors: $=\frac{c}{1}\times\frac{1}{c-2}$ Multiply the two fractions: $=\frac{c}{c-2}$
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