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 $\frac{10}{2}$.