list 4 rational numbers between 5/7 and 7/8
Answers
Answer:
47/56, 41/56, 39/56, 33/56 are the 4 rational numbers between 5/7 and 7/8.
Step-by-step explanation:
hope it helps u.
Given,
The two rational numbers = 5/7 and 7/8.
To find,
The four rational numbers between 5/7 and 7/8.
Solution,
The four rational numbers between 5/7 and 7/8 will be 41/56, 42/56, 43/56 and 44/56.
We can easily solve this problem by following the given steps.
Now, first, we need to make the denominators of the two rational numbers as same.
It can be done by taking the LCM of their denominators.
The LCM of 7 and 8 is 56.
So, we have to multiply the first rational number, 5/7 by 8.
And the second rational number, 7/8, is to be multiplied by 7.
5×8/7×8 = 40/56
7×7/8×7 = 49/56
Now, we can easily find more than four rational numbers between 40/56 and 49/56.
Therefore, the four rational numbers are 41/56, 42/56, 43/56 and 44/56.
Hence, the four rational numbers between 5/7 and 7/8 are 41/56, 42/56, 43/56 and 44/56.