Question

The ratio $\frac{3}{5}:\frac{9}{45}$ as the ratio of integers in the lowest form is:

• A. $135:45$
• B. $15:5$
• C. $3:1$
• D. $1:3$

Answer 1

The correct option is C

$3:1$

We can write the ratios $\frac{3}{5}:\frac{9}{45}$in the fractional form as $\frac{{\displaystyle \frac{3}{5}}}{{\displaystyle \frac{9}{45}}}$.

This can also be written as:

$\begin{array}{rcl}\frac{{\displaystyle \frac{3}{5}}}{{\displaystyle \frac{9}{45}}}& =& \frac{3}{\sout{5}}\times \frac{{\sout{45}}^{\sout{9}}}{\sout{9}}\\ & =& 3\\ & =& \frac{3}{1}\end{array}$

So, the ratio in lowest form is $3:1$.

Hence, the correct is answer is option (C).