Elementary Technical Mathematics

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

Chapter 1 - Section 1.6 - Introduction to Fractions - Exercise - Page 31: 52


a) $\frac{4}{3}$ b) $3\frac{3}{4}$ c) $1\frac{1}{2}$

Work Step by Step

To convert a mixed number to an improper fraction, multiply the denominator by the whole number portion, then add the product to the numerator. $1\frac{1}{3}=\frac{(3\times1)+1}{3}=\frac{4}{3}$ To convert an improper fraction to a whole number, divide the numerator by the denominator. The quotient becomes the whole number portion of the mixed number. The remainder becomes the numerator of the fractional portion. $15\div4=3,\ R:3$ $\frac{15}{4}=3\frac{3}{4}$ $3\div2=1,\ R:1$ $\frac{3}{2}=1\frac{1}{2}$
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