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Dovator [93]
2 years ago
11

S) Find 2 rational numbers between these two fractions 1413/5689 1838/7370

Mathematics
1 answer:
serg [7]2 years ago
6 0

Take the average, which always lies in the middle of any two numbers:

(1413/5689 + 1838/7370) / 2 = 5217548/20963965

To get another number, take the average of this number with any of the first two. For example,

(1413/5689 + 5217548/20963965)/2 = 10424453/41927930

Notice that

1413/5689 ≈ 0.248<u>374</u>

10424453/41927930 ≈ 0.248<u>628</u> … … … (the second average, between the first number and the first average)

5217548/20963965 ≈ 0.248<u>882</u> … … … (the first average of the given two numbers)

1838/7370 ≈ 0.24<u>9389</u>

(underlined for emphasis)

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