MCQ
How many rational numbers are there in between $\frac{3}{4}$ and $1?$
  • A
    $2$
  • Countless
  • C
    $0$
  • D
    $1$

Answer

Correct option: B.
Countless

We can write $\frac{3}{4}$ as $\frac{30}{40}$ and $1$ as $\frac{40}{40}$.
Hence the rational numbers between them are:
$\frac{31}{40}, \frac{32}{40}, \frac{33}{40}, \frac{34}{40}, \frac{35}{40}, \frac{36}{40}, \frac{37}{40}, \frac{38}{40}, \frac{39}{40}.$
Note: There are countless rational numbers between any two rational numbers.

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