Arrange the following in descending order:

2/9, 2/3, 8/21

Dear Student

LCM of 9, 3, 21 = 63
Now, let us change each of the given fraction into an equivalent fraction having 63 as the denominator.
[(2/9) × (7/7)] = (14/63) [(2/3) × (21/21)]
= (42/63) [(8/21) × (3/3)] = (24/63)
Clearly,
(42/63) > (24/63) > (14/63)
Hence,
(2/3) > (8/21) > (2/9)
Hence, the given fractions in descending order are (2/3), (8/21), (2/9)

Thanks