Question

insert three rational number between 2/7 and 5/12​

Answer 1

Answer:

2/7 and 5/12

Lcm=84

24/84 and 35/84

so the five rational numbers between these two are

25/84,26/84,27/84,28/84

Step-by-step explanation:

Answer 2

Answer:

25/84, 13/42 & 9/28

and can be more till 35/84 i.e. 5/12 in it's smallest form.

Step-by-step explanation:

Firstly,

Make 2/7 and 5/12 like fraction

I.e.

LCM of 7 and 12 is 84.

Then divide 84 by both the denominator I.e. 7 & 12, and then multiply the quotient by the numerator.

For eg.

84 when divided by 7 (denominator) gives 12 (quotient). so 2 (numerator) will be multiplied by 12 (quotient) which gives 24.

So 2/7 changes to 24/84.

And

Second 5/12 changes to 35/84.

Then,

As the fractions are like fractions.

Considering only the numerators of like fractions (24 & 35).

Take numbers (can be decimal numbers also) for eg 24.1, 24.2, 25, 26, 27, 28 and so on with the denominator 84.

Then reduce the fraction u took.

Hence, the fractions 25/84, 26/84 & 27/84 when reduced gives answer as 25/84, 13/42 & 9/28.

So the answer is 25/84, 13/42 & 9/28.