Question

Insert three rational numbers between and
3/5and2/3​

Answer 1

d= 1/60, therefore Required 3 rational numbers between 2/3 and 3/5 are a+d,a+2d,a+3d.

a+d=2/3+1/60=40+1/60=41/60 (L.C.M of 3,60),a+2d=2/3+1/30=20+1/30=21/30, a+3d=2/3+1/10=23/30.

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Answer 2

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Answer

d= 1/60, therefore Required 3 rational numbers between 2/3 and 3/5 are a+d,a+2d,a+3d. a+d=2/3+1/60=40+1/60=41/60 (L.C.M of 3,60),a+2d=2/3+1/30=20+1/30=21/30, a+3d=2/3+1/10=23/30.

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