Prealgebra (7th Edition)

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

Chapter 4 - Section 4.6 - Complex Fractions and Review of Order of Operations - Exercise Set: 55

Answer

$=\frac{x}{16}+\frac{3}{8}$

Work Step by Step

$\frac{\frac{x}{3}+2}{5+\frac{1}{3}}$ $=(\frac{x}{3}+2)\div(5+\frac{1}{3})$ $=(\frac{x}{3}+2)\div(\frac{15}{3}+\frac{1}{3})$ $=(\frac{x}{3}+2)\div\frac{16}{3}$ $=(\frac{x}{3}+2)\times\frac{3}{16}$ $=\frac{3}{16}(\frac{x}{3}+\frac{2}{1})$ Use the distributive property to distribute $\frac{3}{16}$ to $(\frac{x}{3}+\frac{2}{1})$ $=\frac{3x}{48}+\frac{6}{16}$ $=\frac{x}{16}+\frac{3}{8}$
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