Question

find a five rational number between 1/2 and 1/5
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Answer 1

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

Hope it helps!

Shukriya!

Answer 2

Answer:

Let me understand the question a little better. Your objective is to find any two rational numbers between 12 and 15 . Okay, if my understanding is correct, I will take the mean of the two numbers.

1st number x , where 15≤x≤12

x=12+152=720

Now we have three numbers. We need to find our second number y in the range 15≤y≤12

But notice that 720 is the mean of the two numbers we just used. So if we take the mean of the three numbers now, we obtain 720 (you can check).

Let us use any of the numbers between 12 and 15 and take its average with the new number 720 .

y=12+7202=1740

and you can check now

15=0.2

720=0.35

1740=0.425

12=0.5