Question

Three students took a test in science but instead of putting the grade on top of as a percent she wrote it as a fraction the students tried to figure out who had the highest grade on the test but came to me for help.

Ratios, rates, proportions
Three students took a test in science but instead of putting the grade on top of as a percent she wrote it as a fraction the students tried to figure out who had the highest grade on the test but came to me for help.
$$\displaystyle{N}{A}{T}{E}:{\frac{{{7}}}{{{8}}}},{c}{a}{l}:{\frac{{{15}}}{{{16}}}},{E}{M}{E}{R}{Y}:{\frac{{{5}}}{{{6}}}}$$
Given: the marks obtained by the students are as follows

2021-08-09
Explanation: marks obtained by the student will be from 100 percent whether the are in grade or in percent.
so we will change all these into percent as follows.
Nate's percentage is
$$\displaystyle{\frac{{{7}}}{{{8}}}}\times{100}\%$$
$$\displaystyle={7}\times{12.5}\%$$
$$\displaystyle={87.5}\%$$
Step 2
Cal's percentage is
$$\displaystyle{\frac{{{15}}}{{{16}}}}\times{100}\%$$
$$\displaystyle={15}\times{6.25}\%$$
$$\displaystyle={93.75}\%$$
Emery's percentage is
$$\displaystyle{\frac{{{5}}}{{{6}}}}\times{100}\%$$
$$\displaystyle={5}\times{16.66}\%$$
$$\displaystyle={83.3}\%$$
this implies that Cal scored highest grade in the test that is $$\displaystyle{93.75}\%$$.