Question

Express simplest form

Answer 1

$p\%=\dfrac{p}{100}\\\\2\dfrac{1}{2}\%$

Convert the mixed number to the improper fraction.

$2\dfrac{1}{2}=\dfrac{2\cdot2+1}{2}=\dfrac{5}{2}$

$2\dfrac{1}{2}\%=\dfrac{5}{2}\%=\dfrac{\frac{5}{2}}{100}=\dfrac{5}{2}\cdot\dfrac{1}{100}=\dfrac{1}{2}\cdot\dfrac{1}{20}=\dfrac{1}{40}$