Question

Ten rational no. Between 5/7 & 8/7

Answer 1

Answer:

7/8 = 49/56 = 490/560

5/7 = 40/56 = 400/560

So I can name at least 8 rational numbers between those two bounds - and in fact I can name a lot more - there aren’t just 3; that is a fallacy.

so :

41/56, 42/56, 43/56, 44/56, 45/56, 46/56, 47/56 & 48/56 are all rationals between those two numbers;

More :

How many between 401/560 and 489/560 - that is 88 by my count

More :

How many between 4001/5600 and 4899/5600 - that is 899.

This process can be continued ad-infinitum - there are always an infinite number of rationals between any two rationals.

Step-by-step explanation:

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