Arrange the following rational numbers in the ascending order
54,23,68,85,92.
23<68<54<85<92
To compare the rational numbers, we first make the denominators equal.
L.C.M of the denominators 4, 3, 8, 5, 2 is 120.
Equivalent fractions with the denominator 120 are
54×3030=150120
23×4040=80120
68×1515=90120
85×2424=192120
92×6060=540120
Since the denominator is same in the above equivalent fractions, we can decide the ascending order based on the numerator values.
Ascending order :
23<68<54<85<92