Question

\(\frac{32}{9}\) lies between which pair?

(a) \(\frac{6}{5}\) and \(\frac{7}{2}\)

(b) \(\frac{3}{2}\) and \(\frac{5}{2}\)

(c) \(\frac{7}{2}\) and \(\frac{10}{2}\)

(d) \(\frac{7}{2}\) and \(\frac{6}{5}\)

I have been asked this question in an online quiz.

I'd like to ask this question from Rational Numbers Between Two Rational Numbers in chapter Rational Numbers of Mathematics – Class 8

Answer 1

Correct answer is (c) \(\frac{7}{2}\) and \(\frac{10}{2}\)

To elaborate: When we place the 4 given pairs and the number on the number line we observe that the number \(\frac{32}{9}\) lies between the pair \(\frac{7}{2}\) and \(\frac{10}{2}\), while other options fail to capture the given number between them. Hence the correct pair is \(\frac{7}{2}\) and \(\frac{10}{2}\).