Certainly! Let's solve the problem step by step:
1. Understand the Problem:
We need to determine what percentage [tex]\(\frac{3}{5}\)[/tex] is of the number 20.
2. Express the Fraction as a Decimal:
First, we convert the fraction [tex]\(\frac{3}{5}\)[/tex] to a decimal.
[tex]\[
\frac{3}{5} = 0.6
\][/tex]
3. Interpret the Question:
We need to find the percentage representation of 0.6 relative to 20.
4. Find the Percentage:
To calculate the percentage, we follow these steps:
- Multiply the decimal by the number to find the actual value.
[tex]\[
0.6 \times 20 = 12
\][/tex]
5. Convert the Value to a Percentage of the Number:
- To express this value (12) as a percentage of 20, we use the formula:
[tex]\[
\left( \frac{12}{20} \right) \times 100
\][/tex]
- Simplify the fraction inside the parenthesis:
[tex]\[
\left( \frac{12}{20} \right) = 0.6
\][/tex]
- Finally, multiply by 100 to get the percentage:
[tex]\[
0.6 \times 100 = 60
\][/tex]
So, [tex]\(\frac{3}{5}\)[/tex] is 60% of 20.
