Question

A rational number between 1/2 and 3/4 is​

Answer 1

Given rationals 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 rationals 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, Rationals 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 rationals a & b ( b > a), we need to find n equidistant rationals then the distance between consecutive rationals is

d = b - a / n +1

After finding the distance,

The required rationals will be a + d, a + 2d,a + 3d,.....

Hope helped !

Answer 2

Step-by-step explanation:

so one rational no = 5/8