Two rational numbers between 1/2 and 3/4
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5
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//>>>>If we want to insert n rational numbers between rational numbers a and b
Then d=(b-a)/(n+1)
Then the n ration numbers will be:
a+d, a+2d,………………………………….till a+n*d
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Here given a=1/2 , b=3/4 and n=5
so d=(3/4–1/2)/(5+1)=(1/4)/6=1/24
Thus 1st number=a+d=1/2+1/24=13/24
2nd no.= 13/24+1/24=14/24
Hence 3rd 4th and 5th numbers are:
15/24,16/24 and 17/24
If we like then the numbers can be written in simple fraction form:
So 5 rational no. are: 13/24,14/24,15/24,16/24, and 17/24
OR 13/24 ,7/12,5/8,2/3 and 17/24
Note: You can check the next no =17/24+1/24=18/24=3/4=b
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4
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