# If n divides m+1; the fraction \frac{n}{m} can always be w

If n divides $$\displaystyle{m}+{1}$$; the fraction $$\displaystyle{\frac{{{n}}}{{{m}}}}$$ can always be written as a sum of two unit fractions.
- True
- False

• Questions are typically answered in as fast as 30 minutes

### Plainmath recommends

• Get a detailed answer even on the hardest topics.
• Ask an expert for a step-by-step guidance to learn to do it yourself.

Othrom
False
Explanation:
n divides $$\displaystyle{m}+{1}$$ implies
$$\displaystyle{\frac{{{m}+{1}}}{{{n}}}}={\frac{{{m}}}{{{n}}}}+{\frac{{{1}}}{{{n}}}}$$
the fraction $$\displaystyle{\frac{{{m}}}{{{n}}}}$$ written as sum of two unit fractions
Hence $$\displaystyle{\frac{{{n}}}{{{m}}}}$$ is not a fraction of $$\displaystyle{\frac{{{m}+{1}}}{{{n}}}}$$.