Question

which of the following four rational numbers occur between 1/3 and 1/2 ?

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Answer 1

Answer:

you can use this simple formula :

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

Step-by-step explanation:

please follow me

Answer 2

Answer:

1/3=10/30

1/2=15/30

four rational numbers between 1/3 and 1/2 are 11/30, 12/30, 13/30, 14/30.

there are infinite numbers between two numbers