Question

what are the five rational numbers between 4/6 & 5/6​

Answer 1

first, we change these into numbers with same denominator .

4/5=24/30

and now ,

5/6=25/30

Now ,let no. of rational numbers to be find be n.

then we will find value if n+1

Here , n is 5

then n+1=6

We will multiple both the numbers by (n+1)/(n+1)

i.e. 6/6

FIRST NUMBER

(24/30)*(6/6)

=144/180

SECOND NUMBER

(25/30)*(6/6)

=150/180

Here we find 5 rational no. between 144/180 & 150/180

that are

145/180 , 146/180 , 147/180 , 148/180 , 149/180

These are the numbers between 4/5 and 5/6

You can write in simplest form too

HOPE it helps