Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Skills Handbook - Simplifying Ratios - Exercises - Page 891: 14

Answer

$\frac{x-3}{3x-2}$

Work Step by Step

We rewrite the given ratio as a fraction: $\frac{2x-6}{6x-4}$ Next, we find a common factor that is in both the numerator and the denominator, and factor it out: $\frac{2(x-3)}{2(3x-2)}$ When you divide any number by itself, you get $1$. Therefore, we can cancel out the common factor. This leaves us with $\frac{x-3}{3x-2}$.
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