What is three fourth plus two third plus one fifth?

Answer 1

To add fractions, the denominators (bottom numbers) must be equal; so first convert the fractions into equivalent fractions with the same denominator. Then the numerators (top numbers) are added/subtracted and the resulting fraction simplified:

lcm(4, 3, 5) = 60

60 ÷ 4 = 15

60 ÷ 3 = 20

60 ÷ 5 = 12

3/4 = (3×15)/(4×15) = 45/60

2/3 = (2×20)/(3×20) = 40/60

1/5 = (1×12)/(5×12) = 12/60

→ 3/4 + 2/3 + 1/5 = 45/60 + 40/60 + 12/60 = (45+40+12)/60 = 97/60 = (1×60+37)/60 = 1 37/60