Find 6 rational numbers between 1/3 and 2/3
Answers
Answer:
step by step explanation :
1.Rational number between 1 by 3 and 2 by 3
we know that 1/2(a+b).
=1/2(1/3+2/3)
=1/2(1+2/3)
=1/2(3/3)
=1/2*3/3
=3/6----------------(1)
Rational number between 3by 6 and 2 by 3
=1/2(3/6+2/3)
=1/2(3/6+2*2/3*2)
=1/2(3/6+4/6)
=1/2(7/6)
=7/12-----------------(2)
Rational number between 1 by 3 and 3 by 6
=1/2(1/3+3/6)
=1/2(1*2/3*2+3/6)
=1/2(2/6+3/6)
=1/2(5/6)
=5/12--------------------(3)
Rational number between 5 by 12 and 3 by 6
=1/2(5/12+3/6)
=1/2(5/12+3*2/6*2)
=1/2(5/12+6/12)
=1/2(11/12)
=11/24---------------(4)
Rational number between 7 by 12 and 2 by 3
=1/2(7/12+2/3)
=1/2(7/12+2*4/3*4)
=1/2(7/12+8/12)
=1/2(7+8/12)
=1/2(15/12)
=15/24----------------(5)
Rational number between 3 by 6 and 7 by 12
=1/2(3/6+7/12)
=1/2(3*2/6*2+7/12)
=1/2(6/12+7/12)
=1/2(13/12)
=13/24-------------------(6)
Six rational number between 1 by 3 and 2 by 3 are-- 3/6,7/12,5/12,11/24,15/24 and 13/24.
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