Question

rational number between 1 upon two and two upon three

Answer 1

Answer:

Clearly, there are many rational numbers between 1/2 and 2/3 or 30/60 and 40/60. 31/60, 33/60 and 37/60.

Step-by-step explanation:

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Answer 2

Answer:

There are a lot more than five of them. In fact there are infinitely many rational numbers between any two numbers (rational or irrational.

To illustrate, let’s find a method that will allow us to come up with 100 rational numbers in between 1/2 and 2/3.

Step 1: make those two numbers comparable.

I won’t go on about common denominators, but that what we’re doing really.

1/2 = 3/6 and 2/3=4/6

So the difference between them is 1/6

That difference is definitely less than, 1/10 (to make things easy for ourselves.

So 1/2+1/1000, 1/2+2/1000, … 1/2+100/1000 are all rational numbers between 1/2 and 2/3

Here’s one of them specified more completely

1/2+2/1000=500/1000+2/1000=502/1000

That isn’t expressed in its simplest terms (251/500) but is is certainly rational and certainly is between 1/2 and 2/3 as required.