A recent poll showed that nearly of schoolchildren think that

MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials

Problem

A recent poll showed that nearly

30\%

of schoolchildren think that

\frac{1}{2}+\frac{1}{3}=\frac{1+1}{2+3}=\frac{2}{5}

. This is wrong, of course. Is it possible that

\frac{1}{a}+\frac{1}{b}=\frac{2}{a+b}

for some real numbers

a

and

b