Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 1 - Precalculus Review - 1.1 Real Numbers, Functions, and Graphs - Exercises - Page 10: 33

Answer

$r_{1}$ = $\frac{3}{11}$ $r_{2}$ = $\frac{4}{15}$

Work Step by Step

100$r_{1}$ = 27.272727... 100$r_{1}$ - $r_{1}$ = 27.272727... - 0.272727... = 27 99$r_{1}$ = 27 $r_{1}$ = $\frac{27}{99}$ = $\frac{3}{11}$ 10$r_{2}$ = 2.666... 10$r_{2}$ - $r_{2}$ = 2.666... - 0.2666... = 2.4000... 9$r_{2}$ = 2.4 =$\frac{24}{10}$ $r_{2}$ = $\frac{24}{10}$ / 9 = $\frac{24}{90}$ = $\frac{4}{15}$
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