Percentage of a quarter
What percentage of a quarter is a fifth?
Age
14 to 16
Challenge level
Problem
What percentage of $\frac{1}{4}$ is $\frac 15$ ?
If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.
Student Solutions
Answer: $80\%$
Using common denominators
$\frac15 = \frac4{20}$ $\frac14=\frac5{20}$
$\frac4{20}$ is $\frac45$ of $\frac5{20}$
$\frac45=80\%$
Using division
$\frac 15 \div \frac 14 = \frac45$. As a percentage, $\frac 45 \times 100\% = 80\%$, so $\frac 14$ is $80\%$ of $\frac 15$.