Formula used:

Convert a percent to a fraction:

Step 1: Write the percent as a ratio with the denominator 100.

Step 2: Simplify the fraction if possible.

Calculation:

Consider 37.5%

Let us write the percent as a ratio with the denominator 100.

\(\displaystyle{37.5}\%={\frac{{{37.5}}}{{{100}}}}\)

\(\displaystyle={\frac{{{37.5}}}{{{100}}}}\times{\frac{{{10}}}{{{10}}}}\)

\(\displaystyle{37.5}\%={\frac{{{375}}}{{{1000}}}}\)

Now let us simplify \(\displaystyle{\frac{{{375}}}{{{1000}}}}\) by cancelling out the common factors.

\(\displaystyle{\frac{{{375}}}{{{1000}}}}={\frac{{{5}\cdot{5}\cdot{5}\cdot{3}}}{{{5}\cdot{5}\cdot{5}\cdot{2}\cdot{2}\cdot{2}}}}\)

\(\displaystyle={\frac{{{{{5}}}\cdot{{{5}}}\cdot{{{5}}}\cdot{3}}}{{{{{5}}}\cdot{{{5}}}\cdot{{{5}}}\cdot{2}\cdot{2}\cdot{2}}}}\)

\(\displaystyle{\frac{{{375}}}{{{1000}}}}={\frac{{{3}}}{{{8}}}}\)