Answer:
[tex]\frac{7}{6}[/tex]
Step-by-step explanation:
[tex]-4\frac{1}{2} + 5\frac{2}{3} =[/tex]
For the first term you have to multiply 2x(-4) and add 1, for the second term you have to multiply 3x5 and add 2.
[tex]\frac{2(-4)+1}{2} + \frac{3(5)+2}{3} =[/tex]
[tex]-\frac{9}{2} +\frac{17}{3} =[/tex]
Now you need to find the lowest common multiple between the denominators, just cross multiply as it is shown:
[tex]-\frac{9}{2} (\frac{3}{3} )+\frac{17}{3} (\frac{2}{2} )=[/tex]
[tex]-\frac{27}{6} +\frac{34}{6} = \frac{7}{6}[/tex]
finally you get the result by doing a substraction = 7/6, or 1[tex]\frac{1}{6}[/tex]
