Question

Difference between 5⅔ and 8 4/3​

Answer 1

let's firstly convert the mixed fractions to improper fractions.

`\stackrel{mixed}{5(2)/(3)}\implies \cfrac{5\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{17}{3}}~\hfill \stackrel{mixed}{8(4)/(3)} \implies \cfrac{8\cdot 3+4}{3} \implies \stackrel{improper}{\cfrac{28}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{28}{3}~~ - ~~\cfrac{17}{3}\implies \cfrac{28-17}{3}\implies \cfrac{11}{3}\implies 3(2)/(3)`

Answer 2

3⅔

Explanation:

5⅔ = 5 + ⅔

8 4/3 = 8 + 4/3

(8 + 4/3) - (5 + 2/3) = 8 + 4/3 - 5 - 2/3

commutative property of addition (rearrange)

8 - 5 + 4/3 - 2/3

3 + 2/3 = 3⅔

hope this helps :)