Find the range of these fractions:
1/6, 1/3, 3/2, 2/3, 8/9 and 4/3.
A.
3/4
B.
5/6
C.
7/6
D.
4/3
Correct Answer: 4/3
Explanation
Using the L.C.M of the fractions, convert them to uniform base.
L.C.M = 36, the new fraction becomes: 6/36, 12/36, 54/36, 24/36, 32/36 and 48/36.
Range = highest value - lowest value
Highest among the given fraction = 54/36
Lowest among the given fraction = 6/36.
Range = (54/36) - (6/36) = 48/36 = 4/3
Using the L.C.M of the fractions, convert them to uniform base.
L.C.M = 36, the new fraction becomes: 6/36, 12/36, 54/36, 24/36, 32/36 and 48/36.
Range = highest value - lowest value
Highest among the given fraction = 54/36
Lowest among the given fraction = 6/36.
Range = (54/36) - (6/36) = 48/36 = 4/3
