Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 1 - Section 1.4 - Properties of Real Numbers and Algebraic Expressions - Exercise Set - Page 39: 18



Work Step by Step

To compare the values of $\frac{7}{2}$ and $\frac{35}{10}$, you first need to find the least common denominator. To do this, you first see if the greater of the two denominators can be divided by the lesser. Since 10 can be divided by 2 to get 5, you multiply $\frac{7}{2}$ by $\frac{5}{5}$ (which is 1 expressed as a fraction with a denominator of 5) to get $\frac{35}{10}$. You can compare this new fraction to $\frac{35}{10}$ since they now share a common denominator. Since the result of $\frac{7}{2}\times\frac{5}{5}$ is equal to $\frac{35}{10}$, $\frac{7}{2}=\frac{35}{10}$.
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