Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 1 - Review: 17

Answer

$\frac{5}{6}$

Work Step by Step

Find the greatest common factor by multiplying all common factors. $180=2\times90=2\times2\times45=2\times2\times3\times15=\underline{2\times2\times3\times3}\times5$ $216=2\times108=2\times2\times54=2\times2\times2\times27=2\times2\times2\times3\times9=2\times\underline{2\times2\times3\times3}\times3$ GCF=$2\times2\times3\times3=36$ $\frac{180}{216}=\frac{180\div36}{216\div36}=\frac{5}{6}$
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