There are _______ number of rational numbers between two rational numbers.

Solution:

If the numerator and denominator of a rational number are multiplied or divided by a non-zero integer, we get a rational number which is said to be equivalent to the given rational number.

Infinite number of rational numbers can be inserted between two rational numbers.

For example, consider 1/10 and 9/10

Between these numbers, we can insert other rational numbers like 2/10, 3/10, 4/10,......8/10

On multiplying numerator and denominator by 10,

10/100 and 90/100

We can insert other rational numbers like 11/100, 12/100, 13/100, …………..89/100

Therefore, there are infinite numbers of rational numbers between two rational numbers.

✦ Try This: Find the sum of 2/3 and 5/3

We have to find the sum of 2/3 and 5/3 

2/3 + 5/3 = (2 + 5)/3

= 7/3

Therefore, the sum is 7/3

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

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NCERT Exemplar Class 7 Maths Chapter 8 Sample Problem 5

There are _______ number of rational numbers between two rational numbers.

Summary:

There are an unlimited number of rational numbers between two rational numbers

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☛ Related Questions:

• The rational number _________ is neither positive nor negative
• In any rational number p/q, the denominator is always a non-zero integer. Is the given statement Tru . . . .
• To reduce the rational number to its standard form, we divide its numerator and denominator by their . . . .