Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 4 - Section 4.5 - Adding and Subtracting Unlike Fractions - Exercise Set - Page 273: 63

Answer

$\frac{37x-20}{56}$

Work Step by Step

$ \frac{3x}{8}+ \frac{2x}{7}- \frac{5}{14}$ The least common multiplier is $8\times 7=56$ Adjust the fractions based on the least common multiplier. For the first fraction, multiply the numerator and denominator by 7. $ \frac{3x}{8}\times\frac{7}{7}= \frac{21x}{56}$ For the second fraction, multiply the numerator and denominator by 8. $\frac{2x}{7} \times \frac{8}{8}= \frac{16x}{56}$ For the third fraction, multiply the numerator and denominator by 4. $\frac{5}{14}\times \frac{4}{4}= \frac{20}{56}$ Therefore, $ \frac{21x}{56} +\frac{16x}{56}- \frac{20}{56}= \frac{37x-20}{56}$
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