To determine what percentage is equivalent to the fraction [tex]\(\frac{23}{50}\)[/tex], we follow these steps:
1. Understand that a percentage is a way of expressing a number as a fraction of 100. Therefore, we need to convert the given fraction [tex]\(\frac{23}{50}\)[/tex] to an equivalent fraction with a denominator of 100.
2. Let's start by dividing the numerator by the denominator to find the decimal equivalent. Here the numerator is 23 and the denominator is 50.
3. When 23 is divided by 50, we get:
[tex]\[
\frac{23}{50} = 0.46
\][/tex]
4. To express this decimal as a percentage, we simply multiply by 100 (since percent means per hundred):
[tex]\[
0.46 \times 100 = 46.0
\][/tex]
Thus, [tex]\(\frac{23}{50}\)[/tex] is equivalent to 46%.
