Question

Find 99 rational number between -2/5 and3/4

Answer 1

by making denominators same

-2*4/5*4=-8/20
3*5/4*5=15/20

multiply both numbers by 100

-8*100/20*100=-800/2000
15*100/20*100=1500/200

now write numbers between - 800/2000 & 1500/2000

Answer 2

Let's make their denominators same :
LCM of 5 and 4 = 20 .
-2×4/5×4= -8/20
3×5/4×5= 12/20
But there are not sufficient numbers between them so multiply them by 10 .
-8×10/20×100= -80/200
12×10/20×100= 120/200 .
Now there are so many numbers between them let's write 99 from them .
-79/200,-78/200,-77/200,-76/200,-75/200,-74/200,-73/200,-72/200,-71/200,-70/200,-69/200,-68/200,-67/200,-66/200,-65/200,-64/200,-63/200,-62/200,-61/200,-60/200,-59/200,-58/200,-57/200,-56/200,-55/200,-54/200,-53/200,-52/200,-51/200,-50/200,.......119/200.
Hope it helps you !!