## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 5 - Number Theory and the Real Number System - 5.3 The Rational Numbers - Exercise Set 5.3 - Page 284: 13

#### Answer

$\dfrac{19}{8}$

#### Work Step by Step

To convert the given mixed number to an improper fraction, perform the following steps: (1) Multiply the denominator and the whole number part. (2) Add the numerator to the result in Step (1). (3) Write the result in Step (2) as the numerator and put the original denominator in the denominator. (4)Keep the sign of the given mixed number. When we perform the steps above, we find: (1) $8(2)=16$ (2) $16 + 3=19$ (3)$\dfrac{19}{8}$

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