Question

Which of the following is the greatest number among the given rational numbers?

(a) \(\frac{139}{26}\)

(b) \(\frac{72}{21}\)

(c) \(\frac{99}{36}\)

(d) \(\frac{101}{20}\)

The question was asked during an internship interview.

This question is from Rational Numbers Between Two Rational Numbers in section Rational Numbers of Mathematics – Class 8

Answer 1

Right choice is (a) \(\frac{139}{26}\)

The best I can explain: The numbers when placed on the number line, the number which is placed farthest from 0 is the greatest. Here the numbers are, \(\frac{139}{26}\) = 5.34

\(\frac{72}{21}\) = 3.42

\(\frac{99}{36}\) = 2.75

\(\frac{101}{20}\) = 5.05

So, we conclude that the greatest number is \(\frac{139}{26}\) and hence would be placed farthest from 0.