Question

If we multiply a fraction by itself and divide the product by its reciprocal the fraction thus
obtained is $18\frac{26}{27}$. The original fraction is

• A. $\frac{8}{27}$
• B. $2\frac{2}{3}$
• C. $1\frac{1}{2}$
• D. None of these

Answer 1

Answer: (B)

$2\frac{2}{3}$

$Letfractionxthenx\times x÷\frac{1}{x}=18\frac{26}{27}=\frac{512}{27}$

$x\times x\times \frac{x}{1}=\frac{512}{27}wegetx=\frac{8}{3}=2\frac{2}{3}$

So correct answer will be option B