Answer:
[tex]-\frac{4}{3}[/tex]
Step-by-step explanation:
We are given that
[tex]5\frac{1}{3}+(-4\frac{1}{6})+(-2\frac{1}{2})[/tex]
We have to find the value of given expression
[tex]\frac{5(3)+1}{3}-(\frac{4(6)+1}{6})-(\frac{2(2)+1}{2})[/tex]
[tex]=\frac{15+1}{3}-\frac{24+1}{6}-\frac{4+1}{2}[/tex]
[tex]=\frac{16}{3}-\frac{25}{6}-\frac{5}{2}[/tex]
LCM(2,3,6)=6
[tex]=\frac{32-25-15}{6}[/tex]
[tex]=\frac{32-40}{6}[/tex]
[tex]=\frac{-8}{6}[/tex]
[tex]=-\frac{4}{3}[/tex]
