Aptitude - Decimal Fraction - Discussion

Thank you @Dipti.

Thank you for all. You are given the good explanation.

Thank you all for explaining it.

Thanks @Deepak.

Simply Multiply all value with 100 so that you will get the answers regarding 100
like 1/3*100, 2/5*100, 3/7*100, 4/5*100, 5/6*100, 6/7*100

Now taking the answers of all the values in decimal we will get the values as
33.33, 40, 42.84, 80, 83.35, 85.68

Now arranging the value in descending order we get as
85.68, 83.35, 80, 42.84, 40, 33.33

6/7, 5/6, 4/5, 3/7, 2/5, 1/3 right answer.

It was the fastest approach to retrieve the soln @Shahid.

If the numerator is increasing by a constant number the smaller the numerator the smaller the fraction.

Arrange numerators in ascending order and then write their corresponding denominators like this:

1/3, 2/5, 3/7, 4/5, 5/6, 6/7.

Now, if you carefully observe, numerator increases by +1 and denominator increases by +2.

In such case, when numerators and denominators increase by some value and for each fraction of that value is same, then greater the numerator, greater will the fraction and smaller the numerator, smaller will be the fraction.

Hence, here arranging in descending order,

6/7> 5/6> 4/5> 3/7> 2/5> 1/3.

I think these fractions can be compared by cross multiplication method or by making all the denominators the same like using lcm as a multiplication factor.

6/7 = 0.857.
5/6 = 0.833.
4/5 = 0.8.
3/7 = 0.42.
2/5 = 0.4.
1/3 = 0.333.
Then the option "D" is correct.