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4 votes
Insert five rational numbers between 4/9 and 5/9

1 Answer

4 votes

Answer:

25/54

27/54

29/54

31/54

5/9

Explanation:

These fractions can be found by dividing the interval between 4/9 and 5/9 into six equal parts. The five fractions listed above are the endpoints of the five inner parts.

Another way to find these fractions is to use the following formula:

(4/9 + 5/9) / 2 = 9/18 = 1/2

(4/9 + 1/2) / 2 = 5/18

(1/2 + 5/9) / 2 = 7/18

(5/9 + 7/18) / 2 = 11/18

(7/18 + 5/9) / 2 = 13/18

User Anthony Dito
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