Question

The number of rational number between two rational number 2by5 and 3by7is

Answer 1

there are infinite rational numbers between 2 numbers; so is the answer to your question.

Answer 2

Step1- We have to first take the L.C.M of the denominators of the fraction .

So,the L.C.M of 5 and 7 is 35.

Step2-We have to change the denominators of both the fraction and make them 35

So,we have to multiply 7 in the numerator of 2/5 and also in the denominator and then the new fraction formed will be 14/35.

Similarly we have to multiply 5 in the numerator and denominator of 3/7 and then the fraction will be 15/35.

As,their is no fraction in between 14 /35 and 15/35 ,so we have to multiply 3 in the numerator and denominator of both the fraction.And the new fractions formed are 42/35 and 45/35 .

And the two required fraction are 43/35 and 44/35