\(4\dfrac{1}{4}+3\dfrac{3}{8}-2\dfrac{1}{3}=\dfrac{17}{4}+\dfrac{28}{8}-\dfrac{7}{3}=\dfrac{102}{24}+\dfrac{84}{24}-\dfrac{56}{24}=\dfrac{130}{24}=\dfrac{65}{12}\)
`4 1/4 + 3 3/8 - 2 1/3`
`= [ (4 + 3 - 2) + ( 1/4 + 3/8 - 1/3)]`
`= 5 + ( 6/24 + 9/24 - 8/24)`
`= 5 + ( ( 6 + 9 -8)/24)`
`= 5 + 7/24`
`=120/24 + 7/24`
`=(120+7)/24`
`=127/24`