Question

A fraction bears the same ratio to $\frac{1}{7}$ as $\frac{3}{7}$ does to $\frac{5}{9}$ . Find the fraction?

Answer 1

Let's find the fraction.

Let the fraction be ‘$x$’

As per the given condition

$x:\frac{1}{27}=\frac{3}{7}:\frac{5}{9}$

$\begin{array}{rcl}& \Rightarrow & x\times \frac{5}{9}=\frac{1}{27}\times \frac{3}{7}\\ & \Rightarrow & x\times \frac{5}{9}=\frac{1}{63}\\ x& =& \frac{1}{35}\end{array}$

Hence, the fraction is $\frac{1}{35}$