To determine what percent is the same as [tex]\(\frac{3}{4}\)[/tex], follow these steps:
1. Understand the fraction and the concept of percentage: A percentage is a fraction out of 100. To find the percentage equivalent of a fraction, you need to convert the fraction to an equivalent fraction with a denominator of 100.
2. Convert the fraction to a percentage:
[tex]\[
\frac{3}{4}
\][/tex]
To convert this fraction to a percentage, multiply by 100, as percentages are fractions with a denominator of 100.
[tex]\[
\frac{3}{4} \times 100
\][/tex]
3. Perform the multiplication:
[tex]\[
3 \times 25 = 75
\][/tex]
So,
[tex]\[
\frac{3}{4} \times 100 = 75
\][/tex]
4. Interpret the result: When you multiply [tex]\(\frac{3}{4}\)[/tex] by 100, you get 75. Therefore, [tex]\(\frac{3}{4}\)[/tex] is equivalent to 75%.
Given the options:
a) 60%
b) 65%
c) 75%
d) 50%
The correct answer is:
c) 75%
