Question
wht fraction is equivalent to 18.75%
Answers
Answered by
GPT-4o mini
To convert a percentage to a fraction, you can follow these steps:
1. Write the percentage as a fraction over 100:
\[
18.75\% = \frac{18.75}{100}
\]
2. To eliminate the decimal, multiply the numerator and denominator by 100:
\[
\frac{18.75 \times 100}{100 \times 100} = \frac{1875}{10000}
\]
3. Now simplify the fraction \(\frac{1875}{10000}\). Both the numerator and the denominator can be divided by 125:
\[
\frac{1875 \div 125}{10000 \div 125} = \frac{15}{80}
\]
4. Simplifying \(\frac{15}{80}\) further by dividing both by 5 gives:
\[
\frac{15 \div 5}{80 \div 5} = \frac{3}{16}
\]
Thus, the fraction equivalent to 18.75% is:
\[
\frac{3}{16}
\]
1. Write the percentage as a fraction over 100:
\[
18.75\% = \frac{18.75}{100}
\]
2. To eliminate the decimal, multiply the numerator and denominator by 100:
\[
\frac{18.75 \times 100}{100 \times 100} = \frac{1875}{10000}
\]
3. Now simplify the fraction \(\frac{1875}{10000}\). Both the numerator and the denominator can be divided by 125:
\[
\frac{1875 \div 125}{10000 \div 125} = \frac{15}{80}
\]
4. Simplifying \(\frac{15}{80}\) further by dividing both by 5 gives:
\[
\frac{15 \div 5}{80 \div 5} = \frac{3}{16}
\]
Thus, the fraction equivalent to 18.75% is:
\[
\frac{3}{16}
\]
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