Question

Express the ratio in the simplest form:

$30$ dozen to $2$ hundred

• A. $\frac{1}{3}$
• B. $\frac{10}{3}$
• C. $\frac{9}{5}$
• D. $\frac{3}{2}$

Answer 1

The correct option is C $\frac{9}{5}$

$1$ dozen $=12$ units

Therefore, $30$ dozen $=30\times 12=360$ units

And $2$ hundred $=200$ units

$30$ dozen to $2$ hundred $=360$ to $200$

$=\frac{360}{200}$

Reduce it

$=\frac{36}{20}$

$=\frac{18}{10}$

$=\frac{9}{5}$