What are the rational numbers between 3 and 5?

Rational Numbers between 3 and 5 are, 3.1, 3.2, 3.3, …, 4.8, 4.9, and so on. thus, there are infinite numbers between 3 and 5.

Before proceeding with how to find rational numbers one must know about rational numbers in brief.

Note: There are infinite rational numbers between any two rational numbers.

What are Rational Numbers?

Numbers which can be expressed as fractions or ratios of two integers are called rational numbers.

Rational Number can be expressed as p/q, where q ≠ 0

For example, 2/3 is a rational number that expresses that 2 integers are divided by 3 integers.

Rational Numbers between 3 and 5

Rational numbers between 3 and 5 are 31/10, 32/10, 33/10, 34/10, 35/10, 36/10,………….., 49/10. 

To find out a set of rational numbers between any two numbers suppose 3 and 5 follow various approaches added below:

Approcach 1:

Express 3 and 5 as rational numbers as

⇒3 = 3 × 10/10 = 30/40

⇒5 = 5 × 10/10 = 50/10

Now one can easily find the rational number between 30/10 and 50/10.

Hence, the rational numbers between 3 and 5 are 30/10, and 50/10 are 31/10, 32/10, 33/10, 34/10, 35/10, 36/10, 37/10, 38/10, 39/10, 40/10, ………….., 49/10.

Approach 2:

Rational number between any two number can be easily found using the steps:

Suppose we are given two numbers 3 and 5

Find the middle number between them (say a)

a = (3 + 5)/2 = 8/2 = 4

Now we will find the middle term of 3 and 4(say b) and 4 and 5 (say c)

b = (3 + 4)/2 = 3.5

c = (4 + 5)/2 = 4.5

Simillarly infinite number can be found between 3 and 5 using this methods,

3,…, 3.5,…,4,…,4.5,…,5

Similar Questions

Question 1: What are the five rational numbers between 0 and 1?

Answer:

Rational numbers between 0 and 1 are 1/2, 2/3, 3/4, 4/5, and 5/6.

Question 2: How can we express rational numbers?

Answer:

We can express a rational number as p/q, where, q is a non-zero denominator.