Question

The food truck restaurant opens for $12$ hours every day. Two-fifteenths of every hour is spent cleaning it. What is the equivalent fraction of the time spent on cleaning the food truck in $1$ day?

• A. $\frac{24}{180}$
• B. $\frac{24}{18}$
• C. $\frac{24}{15}$
• D. $\frac{2}{180}$

Answer 1

The correct option is A $\frac{24}{180}$

Fraction of an hour spent cleaning the food truck $=\frac{2}{15}$
Fraction of time spent cleaning the food truck in $1$ day, i.e., $12$ hours $=\frac{2\times 12}{15\times 12}=\frac{24}{180}.$

Also, $\frac{2}{15}=\frac{24}{180}$.

Hence, $\frac{24}{180}$ is the equivalent fraction of $\frac{2}{15}$, i.e., the time spent on cleaning the food truck in $1$ day.