# Chapter 2 - Section 2.4 - Signed Fractions - Exercises - Page 118: 26

$-2\dfrac{3}{10}$

#### Work Step by Step

Write the mixed number in improper fraction form to obtain: $=-\dfrac{4[}{5} + \left(-\dfrac{2(1)+1}{2}\right) \\=-\dfrac{4}{5} + \left(-\dfrac{3}{2}\right)$ Make the fractions similar using their LCD, which is $10$. to obtain: $=-\dfrac{4(2)}{5(2)}+\left(-\dfrac{3(5)}{2(5)}\right) \\=-\dfrac{8}{10} + \dfrac{-15}{10} \\=\dfrac{-8+(-15)}{10} \\=\dfrac{-23}{10} \\=-2\dfrac{3}{10}$

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