Find five rational number between 1/2and3/4
Answers
Answer:
Heya........ ❤✌......
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 it’s helpful..... ☺
Answer:
13/25
14/25
15/24 etc...
hope it helps u