Question

Which fraction is equivalent to 18.75%
15/8
3/16
18/75
75/4

Answer 1

To find the fraction equivalent to 18.75%, we can convert the percentage to a fraction.

18.75% can be written as:

\[
\frac{18.75}{100}
\]

To simplify this fraction, we can convert 18.75 to a fraction by recognizing that 18.75 is equal to \( \frac{1875}{100} \).

Next, we simplify \( \frac{1875}{100} \):

1. Divide the numerator and denominator by 25:
\[
\frac{1875 \div 25}{100 \div 25} = \frac{75}{4}
\]

Now we can check the options provided to see which one matches \( \frac{75}{4} \):

- \( \frac{15}{8} \) is not equivalent to \( \frac{75}{4} \).
- \( \frac{3}{16} \) is not equivalent to \( \frac{75}{4} \).
- \( \frac{18}{75} \) is not equivalent to \( \frac{75}{4} \).
- \( \frac{75}{4} \) is indeed equivalent to 18.75%.

Thus, the equivalent fraction to 18.75% is:

\[
\frac{75}{4}
\]