Question

Find the rational number between:
1/2 and 3/4​

Answer 1

Answer:

Given rational numbers are, 1/2 & 3/4

We know that, Between two given rational numbers, there exists infinite number of rational numbers. We are required to find out 3 such.  

Changing to equivalent fractions.  

1/2 = 12/24  

3/4 = 18/24  

We changed the rational to have equal denominators.  

So now rational numbers between 12/24 & 18/24 would be rational numbers between 1/2, 3/4 ( Because they are equivalent fractions 1/2 = 12/24, 3/4 = 18/24) .  

Now, Rational between 1/2 & 3/4 are

13/24

14/24

15/24

16/24

17/24

We can also find many such rational numbers. And If we wish to find exactly equidistant rational numbers,

Then We can use the Arithmetic progression.

Between two rational numbers a & b ( b > a), we need to find n equidistant rational then the distance between consecutive rational is

d = b - a / n +1

After finding the distance,

The required rational will be a + d, a + 2d,a + 3d  

Hope helped !

Step-by-step explanation:

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