Elementary Technical Mathematics

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

Chapter 1 - Review: 42

Answer

$19\dfrac{5}{8}$

Work Step by Step

The given decimal is nineteen and six hundred twenty five thousandths. Thus, to convert it to a mixed number, 19 will be the whole number part. To convert the decimal part to a fraction, write $625$ as the numerator and write $1000$ as its denominator. Thus, $19.625 = 19\dfrac{625}{1000}$ Simplify the fraction by cancelling the common factor $125$ to obtain: $\require{cancel} =19\dfrac{125(5)}{125(8)} \\=19\dfrac{\cancel{125}(5)}{\cancel{125}(8)} \\=19\dfrac{5}{8}$
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