Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 1 - Section 1.2 - Fractions in Algebra - Exercise Set: 89

Answer

$\frac{17}{12}$

Work Step by Step

$3\frac{3}{4} - 2\frac{1}{3}$ Convert mixed fractions into improper fractions $\frac{15}{4} - \frac{7}{3}$ The least common denominator for the denominators 4 and 3 is 12. To obtain denominators of 12, multiply the numerator and denominator of the first fraction by 3 and second fraction by 4 $\frac{15}{4} - \frac{7}{3}$ = $\frac{15*3}{4*3} - \frac{7*4}{3*4}$ $\frac{45}{12} - \frac{28}{12}$ Calculate difference of the numerators and put this difference over the least common denominator. $\frac{45-28}{12}$ = $\frac{17}{12}$
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