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

luipieduq3 2021-11-21 Answered
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

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Expert Answer

Othrom
Answered 2021-11-22 Author has 1021 answers
Answer:
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 \(\displaystyle{\frac{{{m}+{1}}}{{{n}}}}\).
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