Question

A fraction which bears the same ratio to $\frac{1}{27}\text{that}\frac{3}{11}\text{does to}\frac{5}{9}\text{equal to}$

• A. $\frac{1}{55}$
• B. $\frac{1}{11}$
• C. $\frac{3}{11}$
• D. 55

Answer 1

The correct option is A $\frac{1}{55}$

$\frac{3}{11}:\frac{5}{9}::x:\frac{1}{27}\frac{\frac{3}{11}}{x}=\frac{\frac{\frac{5}{9}}{1}}{27}x=\frac{3}{11}\times \frac{9}{5}\times \frac{1}{27}x=\frac{1}{55}$