To express the fraction [tex]\( \frac{4}{20} \)[/tex] as a percentage, follow these steps:
1. Divide the numerator by the denominator:
[tex]\[
\frac{4}{20} = 0.2
\][/tex]
2. Convert the decimal to a percentage:
To convert a decimal to a percentage, multiply by 100.
[tex]\[
0.2 \times 100 = 20
\][/tex]
Therefore,
[tex]\[
\frac{4}{20} = 20\%
\][/tex]
Now, let's simplify the fraction [tex]\( \frac{4}{20} \)[/tex] to its lowest terms.
3. Find the greatest common divisor (GCD) of the numerator and the denominator:
The GCD of 4 and 20 is 4.
4. Divide both the numerator and the denominator by their GCD:
[tex]\[
\frac{4 \div 4}{20 \div 4} = \frac{1}{5}
\][/tex]
So, the simplified fraction of [tex]\( \frac{4}{20} \)[/tex] is [tex]\( \frac{1}{5} \)[/tex].
In summary:
[tex]\[
\frac{4}{20} = 20\% \quad \text{and the simplified form is} \quad \frac{1}{5}
\][/tex]
