Find five rational numbers between 3/5 and 4/5

Solution:

Let us see how to find rational numbers between 3/5 and 4/5 using the following steps.

• Step 1: We need to find 5 rational numbers between 3/5 and 4/5. Let us use 6 as a multiplier. We will multiply and divide the numerator and denominator of 3/5 and 4/5 by 6. 3/5 = (3 × 6) ÷ (5 × 6) = 18/30. Similarly, 4/5 = (4 × 6) ÷ (5 × 6) = 24/30
• Step 2: Here, 18/30 and 24/30 are equivalent fractions for 3/5 and 4/5 respectively.
• Step 3: Finding a rational number between 3/5 and 4/5 is easy now because we will list down the numbers between the new numerators 18 and 24. In this way, we get, 19/30, 20/30, 21/30, 22/30 and 23/30
• Step 4: Thus, 5 rational numbers between 3/5 and 4/5 are 19/30, 20/30, 21/30, 22/30 and 23/30.

In order to understand how to find five rational number between 3 upon 5 and 4 upon 5, in detail, the video given below can be referred which gives a complete explanation of the procedure.

☛ Check: Class 9 Maths NCERT Solutions for Chapter 1

Video Solution:

Find five rational numbers between 3/5 and 4/5.

The following video shows us how to find five rational numbers between 3 by 5 and 4 by 5.

NCERT Solutions Class 9 Maths Chapter 1 Exercise 1.1 Question 3

Summary:

Five rational numbers between 3/5 and 4/5 are 19/30, 20/30, 21/30, 22/30, and 23/30.

☛ Related Questions:

• Is zero a rational number? Can you write it in the form p/q, where p and q are integers and q ≠ 0?
• Find six rational numbers between 3 and 4.
• State whether the following statements are true or false. Give reasons for your answers. (i) Every natural number is a whole number. (ii) Every integer is a whole number. (iii) Every rational number is a whole number.