Question

Arrange following rational numbers in decending order 2/3, 2/ 5,3/4, 1/6

Answer 1

first, L.C.M the denominator 3,5,4,6 we get = 60

now,

2/3 = (2×20)/(3×20) = 40/60

2/5 = (2×12)/(5×12) = 24/60

3/4 = (3×15)/(4×15) = 45/60

1/6 = (1×10)/(6×10) = 10/60

now,

arrenge numbers in decending order we get,

45/60 > 40/60 > 24/10 > 10/60

i.e, 3/4 > 2/3 > 2/5 > 1/6 (ans.)