Question

How do we find rational numbers between two numbers?

Plz answer it...
I am unable to get the concept...

Thank you...

Answer 1

Hey friend,

Hope you will understand this:-

★If you need to find only ONE rational number between two given numbers,we can use the principle:-

(a+b)/2

where a and b are given two numbers.

For example,given 1/2 and 3/4

→ {1/2+3/4}/2

Now take LCM for 2 and 4, LCM is 4

{2/4+3/4}/2 = {(2+3)/4÷2} = 5/4×2 = 5/8

Therefore,5/8 is a rational number between the given numbers 1/2 and 3/4.

Another simple example for better understanding,

Let's take the two numbers 2 and 3

A rational number between them = (2+3)/2 = 5/2



★If you want to find more than one rational number between them, follow this

→First check whether the two given numbers have same denominator.

→If not take LCM and make them have same denominator.

→Here is a trick for you:-

*If you need 2 rational numbers between them,just multiply and divide 3 for both numbers.

*If you need 3 rational numbers between them,multiply and divide 4 for both numbers.

*It means if you need 'x' number of rational numbers between the two given numbers then multiply and divide (x+1) for both sides.

→Let's have an example,

Given numbers are 2 and 3 and you need five rational numbers

2×6/6 and 3×6/6

12/6 and 18/6

12/6 < 13/6 < 14/6 < 15/6 < 16/6 < 17/6 < 18/6

Therefore, 13/6,14/6,15/6,16/6 and 17/6 are required numbers.

If you are given with the two numbers which have different denominators,

Take LCM and follow up same process.





Hope it helps

Answer 2

Take your fraction and convert to a fraction with the same denominator. You can do this by multiplying by a form of 1, ie 3/3. 2. If you can't get 3 numbers between the fractions, then multiply your new fractions by another version of 1, ie 10/10. to get the numerators farther apart.


Mark as brainlieast
I need ur hlp