Question

The rational number between 2/3and 3/4 is=

Answer 1

3 answers · Mathematics
Answers
There are a lot of rational numbers between 2/3 & 3/4!

Change the denominator to a larger number.

I'll pick 24 and convert each fraction.

2*8/3*8 = 16/24

3*6/4*6 = 18/24

17/24 is between them!

Or...
I'll pick 60 and convert each fraction.

2*20/3*20 = 40/60

3*15/4*15 = 45/60

41/60, 42/60, 43/60, & 44/60 are all between them!

The larger the denominator is that you choose,
the more fractions you can (easily) find between them!

OR


First take the LCM of 3 and 4
LCM of 3 and 4 = 12
2/3×4=8/12
3/4×3=9/12

Now multiply them by 10
8/12×10=80/120
9/12×10=90/120
You can write any 5 no. between them
Eg. 81/120,83/120,85/120,
87/120,89/120