# In any rational number p/q, the denominator is always a non-zero integer. Is the given statement True or False?

**Solution: **

Given, in any rational number p/q, the denominator is always a nonzero integer.

We have to determine if the given statement is true or false.

A number that can be expressed in the form p/q , where p and q are integers and q ≠ 0, is called a rational number.

From the above definition,

It is clear that the denominator is always a nonzero integer.

Therefore, the given statement is true.

**✦ Try This: **Which of the following rational numbers is equivalent to 2/3? (a) 3/2, (b) 6/9, (c) 5/6, (d) 9/4

Given, the rational number is 2/3

We have to find the rational number equivalent to 2/3

From the given options,

3/2, 5/6 and 9/4 cannot be simplified further.

6/9 can be simplified as

= (3 × 2)/(3 × 3)

= 2/3

Therefore, the required rational number is 6/9.

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 9

**NCERT Exemplar Class 7 Maths Chapter 8 Sample Problem 7**

## In any rational number p/q, the denominator is always a non-zero integer. Is the given statement True or False?

**Summary:**

The given statement, “In any rational number p/q , the denominator is always a nonzero integer” is true

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