Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 4 - Decimals - 4.6 Fractions and Decimals - 4.6 Exercises: 34

Answer

$\frac{111}{1000}$

Work Step by Step

We are given the decimal .111. In order to write this decimal as a fraction, we can divide .111 by 1 (which is equivalent to having .111 as the numerator and 1 as the denominator). $.111\div1=\frac{.111}{1}$ Next, we multiply both the numerator and denominator by factors of 1 until both have no decimal points. $\frac{.111}{1}=\frac{.111\times1000}{1\times1000}=\frac{111}{1000}$ This fraction is in simplest form.
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