Question

please tell the full process of finding 3 rational numbers between 5/7 and 9/11​

Answer 1

Answer

Step-by-step explanation:

First, find the LCM of the denominators, 7 and 11. (Which would be 77).

5    x    11 = 55

----------------------

7    x     11 = 77

So, 5/7   =    55/77

9/11 = 45/77

So the rational numbers could be 46/77,   47/77,   48/77 etc.

My first answer :)

Answer 2

Answer:

To find three rational numbers between two fractions, first we have to make the denominators the same. To make the denominators the same, we can use the LCM method. LCM is also Least Common Multiple. It is the least multiple which is common in both the numbers. So first we have to take the LCM of 7 and 11.

Since 77 is the least multiple which is common in both their tables,

LCM of 7 and 11 = 77

Now we have to make both the denominators 77. So we can multiply 7 by 11 and then we will multiply 11 by 7 so that the denominators become the same. But when we multiply the denominator with a number, we also have to multiply the numerator with the same number, that's The Rule.

5 x 11 / 7 x 11 = 55/77

9 x 7 / 11 x 7 = 63/77

Now all we have to do is, write 3 numbers between the numerators, 63 and 55, but we also have to add the denominator 77 with it. So numbers between 55 and 63 are 56, 57 and 58. But since the denominator is 77, we have to add 77 with these too.

So 3 rational numbers between 5/7 and 9/11​ are:

56/77, 57/77, 58/77