Question

Hamdan says that when you add fractions with the same denominator, you can add the numerators and keep the same denominator. Is Hamdan correct?

Answer 1

Yes, Hamdan is correct.

Explanation:

Let the two fractions are q/r and s/r.

Here, the denominator is same for both the fractions.

So, as we add them, add the numerators and the denominators remains same.

`(q)/(r)+(s)/(r)\\\\=(q + s)/(r)`

For example

`(3)/(5)+(4)/(5)\\\\=(3 + 4)/(5)\\\\=(7)/(5)`

So, Hamdan is correct.