Question

insert 20 rational no.between -3/4 and 5/8​

Answer 1

Answer:

HEY MATE

Step-by-step explanation:

Well, there are more than just five. In fact, there are infinitely many rational numbers between any two points on the number line. Shall we pick five? Easily done. To find a rational number between two other rational numbers, simply calculate the average of those two numbers.

14+122=14+242=342=38  

If you need two more rational numbers, just take the average of 1/4 and 3/8, and of 3/8 and 1/2.

14+382=28+382=582=516  

38+122=38+482=782=716  

We can finish up by finding two more averages, and we have our pick of endpoints. Let’s say we find the average between 1/4 and 5/16, and between 7/16 and 1/2

14+5162=416+5162=9162=932  

716+122=716+8162=15162=1532  

So there are five rational numbers that lie between 1/4 and 1/2. Not in numerical order:

3/8

5/16

7/16

9/32

15/32

Of course, there is another way to approach this problem. Suppose you wanted five rational numbers spaced at even intervals between 1/4 and 1/2. For the purpose of this exercise, we’ll assume that we don’t want to include 1/4 and 1/2. So that’s six intervals. The gap between 1/4 and 1/2 is 1/4, and one-sixth of the gap is

146=124  

So starting at 1/4 (or 6/24) we can count up by 1/24 each time to find five evenly-spaced rational numbers between 1/4 and 1/2.

7/24

8/24 = 1/3

9/24 = 3/8

10/24 = 5/12

11/24

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THANK YOU