find 3 rational numbers between 1/5 and 1/2 by mean method
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One of ways that I can think of is to change the fractions to same denominator and then dividing it by 2(that is finding mean of two numbers).
Let me show it to you:
To find the first rational number between 1/2 and 1/5 = 1/2(1/2 + 1/5) = 1/2(7/10) = 7/20
Clearly, 1/2>7/20>1/5
Now to find the second rational number,take either 1/2 , 7/20 at a time or 7/20 , 1/5 .
Let me demonstrate both methods:
Taking 1/2 , 7/20 together:
Rational number between 1/2,7/20= 1/2(1/2 + 7/20)=1/2(34/40)=1/2(17/20)= 17/40 Now 1/2>17/40>7/20>1/5
Taking 7/20 ,1/5 together:
Rational number between 7/20,1/5=1/2(7/20 + 1/5)= 1/2(55/100)=1/2(11/20)=11/40 Now 1/2>7/20>11/40>1/5
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