Question

Find three rational number between x(y-z)

-1 and x(y-1-z

-1) given that x=

2
/5
y=

1
/6
and z=1
/8

Answer 1

For finding rational no. first we will calculate value of second term
x(y-1-z-1)= 2/5(1/6-1-1/8-1)
=2/5(1/6-(1/8+2))
=2/5(1/6-17/8)
=2/5(4/24-51/24)
=2/5×(-47/24)
=-47/60

So we have to find 3 rational no. between -47/60 and -1. -1 can also be written as -60/60.

Now we can take any 3 rationals between -47/60 and -60/60.
For Eg. -48/60,-59/60,-55/60 etc.