Explanation:
let's first transform these terms into real fractions :
2/5 = 2/5
4 1/8 = (4×8 + 1)/8 = 33/8
2 1/4 = (2×4 + 1)/4 = 9/4
first we need to handle the division (remember the priorities of arithmetic operations) :
-33/8 / -9/4 = (-33×4) / (-9×8) = 33 / (9×2) = 33/18
then we have to calculate
2/5 + 33/18
to do that we have to bring both fractions to the same denominator (must be divisible by 18 and by 5, so in this case it is 5×18 = 90) :
2/5 = 2/5 × 18/18 = 36/90
33/18 = 33/18 × 5/5 = 165/90
so,
36/90 + 165/90 = 201/90 = 67/30 = 2 7/30