Question

6 rational number between 1/2 and 5/8​

Answer 1

Answer:

To find numbers between 1/2 and 5/8

First thing to do is both numbers should be in similar fractions whose denominators are identical as

1/2, 5/8

4/8,5/8 (4/8=4x1/2)

Hence to find numbers between 4/8 and 5/8, we don't find integer between 4 and 5 so next double or triple the denominators

4/8 x 2 =8/16 and

5/8 x 2=10/16

now we can find one integer between 8 and 10, therefore 9/16 can be one number between 1/2 and 5/8.

Now if we triple the numbers as

4/8 x 3=12/24 and

5/8 x 3=15/24

we can find 13/24 and 14/24 two numbers between 1/2 and 5/8.

similarly we enlarge the fraction and find more and more numbers between 1/2 and 5/8

Step-by-step explanation: