Answer:C
Step-by-step explanation:
You convert 17.5 to a decimal that is 0.175 and 0.175 as a fraction is 7/40
keeping in mind that we can convert any value in percent format to a percent fraction by simply dividing it by 100, this one is 17.5, so let's first convert that 17.5 to a fraction, namely an improper fraction in this case, we have one decimal, .5, so we'll divide it by 10, and then we'll do the percent fraction conversion.
[tex]\bf 17.5\%\implies \cfrac{175}{10}\% \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{percent format}}{\cfrac{175}{10}\%}\implies \cfrac{~~\frac{175}{10}~~}{100}\implies \cfrac{~~\frac{175}{10}~~}{\frac{100}{1}}\implies \cfrac{175}{10}\cdot \cfrac{1}{100}\implies \cfrac{175}{1000} \\\\\\ \implies \cfrac{~~\begin{matrix} 5\cdot 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~\cdot 7}{2\cdot 2\cdot 2\cdot ~~\begin{matrix} 5\cdot 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~\cdot 5}\implies \cfrac{7}{40}[/tex]
