Question

Write between five rational numbers 1/4 and I/2​

Answer 1

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

Answer 2

Answer:

here's your answer

Step-by-step explanation:

for making the denominator equal,

1/4 = 1*2/4*2 = 2/8

1/2 = 1*4/2*4 = 4/8

we have to find 5 rational no. so we will multiply 6 to both nominator and denominator

2/8 = 2*6/8*6 = 12/48

4/8 = 4*6/8*6 = 24/48

so, the 5 rational numbers between 1/4 and 1/2 are - 13/48 , 14/48 , 15/48 , 16/48 , 17/48

hope it helps, please mark me as Brainliest answer or verified answer