Question

two rational number between 1/3 and 1/4​

Answer 1

Answer:

31/120 and 32/120

Step-by-step explanation:

The two numbers are :- 1/3 and 1/4

Take the LCM of the number i.e. 12

The two numbers after LCM is 4/12 and 3/12 for 1/3 and 1/4 respectively.

multiply and divide both the numbers by 10

4/12 x 10/10 = 40/120  ;  3/12 x 10/10 = 30/120

The numbers become 30/120 and 40/120

The 2 rational numbers are:-   31/120 < 32/120

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Answer 2

Answer:

1/3 and 1/4 right?

So for that we have to take LCM of the denominators that is 3 and 4 .

LCM = 12

now fractions will change to :

1*4/3*4 = 4/12

and

1*3/ 4*3 = 3/12

But as there are no rational numbers between 3/12 and 4/12 so, what we can do is:

Change 1/3 into 12/36

And

Change 1/4 into 9/36

So now we easily find 2 rational numbers between 1/3 and 1/4

=> 9/36, 10/36 , 11/ 36 , 12/36

* remember 10/36 = 5/18 ( in simplest form)

Hence numbers between 1/3 and 1/4 are :

5/18 and 11/ 36

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