To express a percentage as a fraction, follow these steps:
1. Understand the percentage: A percentage represents a ratio out of 100. For example, 12.4% means 12.4 out of 100.
2. Write the percentage as a fraction: To convert 12.4% to a fraction, simply place it over 100. Therefore, [tex]\( 12.4\% \)[/tex] becomes [tex]\( \frac{12.4}{100} \)[/tex].
3. Simplify the fraction (if necessary):
- Note that [tex]\( 12.4 \)[/tex] can be expressed as a decimal fraction.
- In cases where the numerator and denominator need further simplification, you might divide both by their greatest common divisor.
- For this particular fraction, let's leave it in its simplest form where [tex]\( 12.4 \)[/tex] is already in decimal format.
So, [tex]\( 12.4\% \)[/tex] as a fraction is [tex]\( \frac{12.4}{100} \)[/tex]. Simplifying the decimal fraction [tex]\( \frac{12.4}{100} \)[/tex] to its simplest form:
[tex]\[ \frac{12.4}{100} = 0.124 \][/tex]
This gives you the fraction form of [tex]\( 12.4\% \)[/tex] as [tex]\( 0.124 \)[/tex].
