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# Number of rational numbers between 15 and 18 is finite. Is the given statement true or false? Justify

**Solution:**

A __rational number__ is a number that is of the form p/q where p and q are __integers__ and q is not equal to 0.

There are infinitely many rational numbers between two rational numbers.

So we know that

Between 15 and 18 there are infinite rational numbers

Therefore, the statement is false.

**✦ Try This: **Find a rational number between 2/5 and 3/6.

Rational numbers between 2/5 and 3/6 can be written as

(2/5 + 3/6)/2

Taking LCM

= [(12 + 15)/30]/2

By further calculation

= (27/30)/2

So we get

= 9/10 × 1/2

= 9/20

Therefore, the rational number is 9/20.

**☛ Also Check: **NCERT Solutions for Class 9 Maths Chapter 1

**NCERT Exemplar Class 9 Maths Exercise 1.2 Problem 3(iii)**

## Number of rational numbers between 15 and 18 is finite. Is the given statement true or false? Justify

**Summary**:

The statement “Number of rational numbers between 15 and 18 is finite” is false

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