Which will have minimum change in its value if 5 is added

Which one of the following will have minimum change in its value if 5 is added to both numerator and the denominator of the fractions 2/3, 3/4, 4/5 and 5/6 ?

Answer: The correct option is D
Explanation:
Method I:

Original fractions and their decimal values are:

2/3 = 0.666

3/4 = 0.750

4/5 = 0.800

5/6 = 0.833

The new fractions (after adding 5 to numerator and denominator) and their decimal values are:

7/8 = 0.875

8/9 = 0.888

9/10 = 0.900

0/11 = 0.909

Now, change in values of fractions are:

(7/8) - (2/3) = 0.875 - 0.666 = 0.209

(8/9) - (3/4) = 0.888 - 0.750 = 0.138

(9/10) - (4/5) = 0.900 - 0.800 = 0.100

(10/11) - (5/6) = 0.909 - 0.833 = 0.076

The minimum change in value is in the fraction 5/6.

Method II:

Bigger are the values in the numerator and denominator, the less will be the impact of any addition.

For example, compare 1/2 = 0.500 and 9/10 = 0.900.

If we add 1 in numerator and denominator of both, we get 2/3 = 0.667 and 10/11 = 0.909

As 5/6 has the biggest digits in numerator and denominator, it will be least impacted.
Exam Year: 2020