Basic College Mathematics (9th Edition)

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

Chapter 3 - Adding and Subtracting Fractions - Review Exercises: 36

Answer

estimate - 79 exact - 79$\frac{7}{16}$

Work Step by Step

215$\frac{7}{16}$ - 136 Estimate : 215$\frac{7}{16}$ round to 215 136 round to 136 So subtract 215 – 136 = 79 is the estimate answer Exact : 215$\frac{7}{16}$ - 136 It is not possible to subtract $\frac{7}{16}$ without regrouping the whole number 136 first 136 = 135 + 1 = 135 + $\frac{16}{16}$ = 135$\frac{16}{16}$ 215$\frac{7}{16}$ = 214 +1 + $\frac{7}{16}$ = 214 + $\frac{16}{16}$ + $\frac{7}{16}$ = 214 + $\frac{23}{16}$ = 214$\frac{23}{16}$ Subtract : 214$\frac{23}{16}$ - 135$\frac{16}{16}$ Subtraction of the whole number is 79 and Subtraction of the fraction is $\frac{7}{16}$ = 79$\frac{7}{16}$ The estimate was 79, so the exact answer of 79$\frac{7}{16}$ is reasonable
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