To convert [tex]\( 60\% \)[/tex] into its simplest fractional form, follow these steps:
1. Convert the Percentage to a Fraction:
[tex]\( 60\% \)[/tex] means [tex]\( 60 \)[/tex] out of [tex]\( 100 \)[/tex]. This can be written as:
[tex]\[
\frac{60}{100}
\][/tex]
2. Simplify the Fraction:
To simplify the fraction, we need to find the Greatest Common Divisor (GCD) of the numerator (60) and the denominator (100). The GCD is the largest number that divides both numbers without leaving a remainder.
- The factors of [tex]\( 60 \)[/tex] are: [tex]\( 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 \)[/tex]
- The factors of [tex]\( 100 \)[/tex] are: [tex]\( 1, 2, 4, 5, 10, 20, 25, 50, 100 \)[/tex]
The largest common factor is [tex]\( 20 \)[/tex].
3. Divide the Numerator and Denominator by the GCD:
Divide both the numerator (60) and the denominator (100) by their GCD (20):
[tex]\[
\frac{60 \div 20}{100 \div 20} = \frac{3}{5}
\][/tex]
Therefore, [tex]\( 60\% \)[/tex] written as a fraction in its simplest form is:
[tex]\[
\frac{3}{5}
\][/tex]
