How do we find rational numbers between two numbers?
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I am unable to get the concept...
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How do we find rational numbers between two numbers?
Plz answer it...
I am unable to get the concept...
Thank you...
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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
Mark as brainlieast
I need ur hlp