Question

find five rational numbers between minus 3 by 5 and minus 1 by 2

Answer 1

-3/5 and -1/2

first LCM of denominators - 5 and 2 = 10

-3/5*2/2= -6/10

-1/2*5/5=-5/10

-6/10 and -5/10

-6/10*6/6=-36/60

-5/10*6/6=-30/60

five rational numbers are= 31/60,32/60,33/60,34/60,35/60

Answer 2

[(-3/5)+(-1/2)] /2
=[-6-5/10]/2
=-11/10*1/2=(-11/20)

[(-3/5)+(-11/20)]/2
=(-12-11/20)/2
=-23/20*1/2=(-23/40)

[(-1/2)+(-23/40)]/2
=(-20-23/40)/2
=-43/40*1/2=(-43/80)

[(-3/5)+(-43/80)]/2
=(-48-43/80)/2
=-91/80*1/2=(-91/160)

[(-1/2)+(-91/160)]/2
=(-80-91/160)/2
=-171/160*1/2=(-171/320)

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