Answer:
- 7 [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Change the mixed numbers to improper fractions
5 [tex]\frac{1}{2}[/tex] = [tex]\frac{11}{2}[/tex]
2 [tex]\frac{1}{3}[/tex] = [tex]\frac{7}{3}[/tex]
- [tex]\frac{11}{2}[/tex] - [tex]\frac{7}{3}[/tex]
We require the denominators to be the same before adding
The lowest common multiple of 2 and 3 is 6, hence
= - [tex]\frac{11(3)}{2(3)}[/tex] - [tex]\frac{7(2)}{3(2)}[/tex]
= - [tex]\frac{33}{6}[/tex] - [tex]\frac{14}{6}[/tex]
= [tex]\frac{-33-14}{6}[/tex] = - [tex]\frac{47}{6}[/tex] = - 7 [tex]\frac{5}{6}[/tex]
