College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.1 - Real Numbers - R.1 Assess Your Understanding: 82

Answer

$\dfrac{-3}{70}$

Work Step by Step

Find the LCM (lease common multiple) of the denominators: $35 = 7(5) \\14=7(2)$ The LCM is $7(5)(2) = 70$ Thus, the LCD is also $70$. Make the fractions similar using their LCD to obtain: $=\dfrac{6(2)}{35(2)} - \dfrac{3(5)}{14(5)} \\=\dfrac{12}{70}-\dfrac{15}{70}$ Subtract the numerators and copy the denominator to obtain: $=\dfrac{12-15}{70} \\=\dfrac{-3}{70}$
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