Question

rational no between4/5and 3/4

Answer 1

Answer:

Step-by-step explanation:

4/5=16/20

3/4=15/20

16/20*6/6=96/120

15/20*6/6=90/120

The five rational numbers are 91/120,92/120.93/120,94/120,95/120

i.e. 91/120,23/30,31/40,47/60,19/24

Answer 2

Answer:

45=16a20a45=16a20a

34=15a20a34=15a20a

For any (rational) a≠0a≠0

All you need to do is to big an aa large enough (a>5a>5 in this case) and you can put as many numbers between them as you like. An other way to see that there are infinite many rationals between them (as for any pair of distinct rationals) is this:

∀a,b∈Q(a<b⟹a<a+b2<b)