# Find ten rational numbers between and

For finding rational numbers between two rational numbers 3/5 and 5/4.

Take L.C.M of the denominators of the numbers.

We have 4 and 5 as the denominators. L.C.M of 4 and 5 = 20

Now we have to make the denominators of each rational numbers 20 by multiplying and dividing.

But this way we will have only three rational numbers in between, so multiply numerator and denominator by any number greater than 1, Let us multiply by 4
we get

Now keeps on increasing the numerator by one and start getting the Numbers between the Rational numbers

We will have

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RS Aggarwal - Mathematics