College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.2 - Real Numbers - P.2 Exercises - Page 16: 78


(a) 518/99 (b) 124/90=62/45 (c) 2114/990=1057/495

Work Step by Step

(a) $x=5.\overline{23}=5.232323...$ $100x=523.232323....$ $100x-x=99x=518$ $x=518/99$ (b) $x=1.3\bar7=1.3777...$ $100x=137.7777...$ $10x=13.777...$ $100x-10x=90x=124$ $x=124/90=62/45$ (c) $x=2.1\overline{35}=2.1353535...$ $1000x=2135.3535....$ $10x=21.353535...$ $1000x-10x=990x=2114$ $x=2114/990=1057/495$
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