Question

how to find rational number between two numbers using mean method​

Answer 1

Answer:

How do I find two rational numbers between 1/2 and 1/5 using the idea of mean?

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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

The icing on the cake, do you have an idea what we just did? Search for Bisection Method in Wikipedia and read some of the description to learn a little more if you are interested.

Cheers :)

What are the two rational numbers between 1/5 and 1/2?

How can I find 5 rational numbers between 1 and 2?

What are two rational numbers between 1/3 and 1/5?

How do I find a rational number between 1/2 and 3/4?

What are the 5 rational numbers between -1/2 and 2/5?

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:

for example: we take 2 and 3

We know that mean method: a+b/2

assume that a is 2 and b is 3

a+ b/ 2 = 2+ 3/ 2

= 5/2

5/2 is a rational number between 2 and 3