Question

How many rational numbers are between -2/3 and 1/4

Answer 1

Answer:

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.

-2/3=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:

-2/3*5/5=  -0.667

1/4*5/5 =0.25

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

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