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

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Numenius

Answer:

Yes, Hamdan is correct.

Step-by-step 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.

[tex]\frac{q}{r}+\frac{s}{r}\\\\=\frac{q + s}{r}[/tex]

For example

[tex]\frac{3}{5}+\frac{4}{5}\\\\=\frac{3 + 4}{5}\\\\=\frac{7}{5}[/tex]

So, Hamdan is correct.

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