Question

which rational number between -2/3 and 1/4 is

please explain step by step​
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Answer 1

Step-by-step explanation:

Firstly,let's convert the given rational numbers into rational numbers with the same denominator(like rational numbers).

For this,we need to know the LCM of 4 and 3=12.

So,

1/4=3/12.

1/3=4/12.

We still don't have any rational number between them.

So to find rational numbers between the given 2 rational numbers we need to multiply the numbers with a number greater than or equal to 5.

So on multiplying with 5,we get:

3/12*5/5=15/60.

4/12*5/5=20/60.

So, now we have exactly 4 rational numbers between them.

They are 16/60(4/15),17/60,18/60(3/10) and 19/60.

We can add on to this list by further multiplying them by numbers like 6,7 and so on to get more numbers.

Answer 2

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