Question

find a rational number between 7/8 and 3/4​

Answer 1

Step-by-step explanation:

Apply simple rule of average of two rational numbers is rational recursively, you may get infinitely many (as many as you want.

(3/4 +7/8)/2

=(6/8+7/8)/2

=(13/8)/2

=13/16

So, we have 3/4 , 13/16, 7/8

3/4=24/32; 13/16=26/32; 7/8=28/32

Averages: 25/32 and 27/32

So, we have 3/4, 25/32, 13/16, 27/32 , 7/8

The numbers listed above are ascending (increasing); they satisfy desired condition.

We can go on repeating process.

Answer 2

Answer:

13/16

Step-by-step explanation:

7/8×2/2=14/16

3/4×4/4=12/16