Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 1 - Some Basic Concepts of Arithmetic and Algebra - 1.1 - Numerical and Algebraic Expressions - Problem Set 1.1: 33

Answer

$6$

Work Step by Step

Using order of operations, the given expression, $ \dfrac{4\cdot6+5\cdot3}{7+2\cdot3}+\dfrac{7\cdot9+6\cdot5}{3\cdot5+8\cdot2} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{24+15}{7+6}+\dfrac{63+30}{15+16} \\\\= \dfrac{39}{13}+\dfrac{93}{31} \\\\= 3+3 \\\\= 6 .\end{array}
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