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Sagot :
-2 5/6 or -17 /6
1) Let's evaluate that expression, but first, we must turn those mixed number into improper fractions
[tex]\begin{gathered} 1\frac{2}{3}=\frac{(3\cdot1+2)}{3}=\frac{5}{3} \\ -2\frac{1}{2}=\frac{-(2\cdot2+1)}{2}=\frac{-5}{2} \end{gathered}[/tex]2) So now, let's add algebraically, add positive and negative numbers.
[tex]\begin{gathered} \frac{5}{3}-\frac{5}{2}-2 \\ \text{Calculate the Least Common Multiple of 1,2,3,} \\ \frac{10}{6}-\frac{15}{6}-\frac{12}{6}=\frac{-17}{6}\text{ or -2 }\frac{5}{6} \end{gathered}[/tex]3) So the answer is -17/6 or turning back to mixed number -2 5/6.
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