Find the range of these fractions 1 6 1 3 3 2 2... - JAMB Mathematics 2001 Question
Find the range of these fractions:
1/6, 1/3, 3/2, 2/3, 8/9 and 4/3.
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 option: d
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
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
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