# Chapter 2 - Section 2.4 - Signed Fractions - Exercises: 12

$-3\dfrac{5}{6}$

#### Work Step by Step

Convert the mixed number to improper fraction: $=-\dfrac{1}{3}-\left(+\dfrac{2(3)+1}{2}\right) \\=-\dfrac{1}{3}-\left(+\dfrac{7}{2}\right) \\=-\dfrac{1}{3}-\dfrac{7}{2}$ Make the fractions similar using their LCD, which is $6$: $\\=-\dfrac{1(2)}{3(2)}-\left(\dfrac{7(3)}{2(3)}\right) \\=-\dfrac{2}{6}-\left(\dfrac{21}{6}\right) \\=\dfrac{-2-21}{6} \\=\dfrac{23}{6} \\=-3\dfrac{5}{6}$

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