Find three rational number between 3/7 and 5/7. How many rational numbers can be determined lying between these number ?
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a=3/7
b=5/7
n=3
d=b-a/n+1
=5/7-3/7/3+1
=2/7/4
=2/7×4
=2/28
a+d=3/7+2/28=12+2/28=14/28
a+2d=3/7+4/28=12+4/28=16/28
a+3d=3/7+6/28=12+6/28=18/28
there will me infinite rational numbers between any 2 numbers
b=5/7
n=3
d=b-a/n+1
=5/7-3/7/3+1
=2/7/4
=2/7×4
=2/28
a+d=3/7+2/28=12+2/28=14/28
a+2d=3/7+4/28=12+4/28=16/28
a+3d=3/7+6/28=12+6/28=18/28
there will me infinite rational numbers between any 2 numbers
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