Question

find the four rational number between 1/3 and 1/2

Answer 1

the four rational numbers between 1/3 and 1/2 are (1/2+1/3)/2=5/12
(5/12+1/2)/2 =11/12
(11/12+1/2)/2=17/12
(17/12+1/2)/2=23/12
1/2 <5/12 <11/12 <17/12 <23/12 <1/3

Answer 2

Given,

Two numbers 1/2 and 1/3.

To Find,

Four rational number between  them.

Solution,

We can't find rational number between these to easily but if we will make its denominator equal means to convert them to like fractions then it is easy to calculate.

Here, on multiplying 1/2 by 3/3 we get 3/6.

Also on multiplying 1/3 by 2/2, we get 2/6.

Further multiplying the denominator and nominator of 3/6 and 2/6 by (5+1)= 6,

We get,

(2 x 6)/(6 x 6)= 12/36

(3 x 6)/(6 x 6)= 18/36

Now 1/2 and 1/3 are equal with 12/36 and 18/36.

Hence, four rational numbers are 13/36,14/36,15/36,16/36.