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Question

Arrange the fractions in ascending order

23, 45, 65, 98


A

23, 45, 98, 65

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B

23, 45, 65, 98

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C

23, 65, 45, 98

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D

65, 23, 45, 98

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Solution

The correct option is A

23, 45, 98, 65


To compare the given fractions, we have to make their denominators the same

So, the LCM of the denominators is 3×5×8=120 [It is not always product of the numbers]

Converting all the fractions into a common base, 120, we get the fractions as:

23×4040=80120

45×2424=96120

65×2424=144120

98×1515=135120

Now, since the denominators are same, we can compare the numbers by comparing their numerators.

Arranging these in ascedning order we get, 80120, 96120, 135120, 144120

Correspondingly arranging original fractions in ascending order, we get, 23, 45, 98, 65


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