Your friend says that 14.5% is equivalent to the decimal 14.5. Explain why your friend is incorrect by comparing the fractional equivalents of 14.5% and 14.5.

14.5% = 14.5/100 = .145

Percent means "per 100"

I know that 14.5%=145% but that is it

Why do I have no friends

To compare the fractional equivalents of 14.5% and 14.5, we need to understand what both of these values represent.

When we say 14.5% (read as "14.5 percent"), it means 14.5 out of 100 parts. Percentages are always represented with a denominator of 100. So, 14.5% is equivalent to 14.5/100.

On the other hand, when we say 14.5 as a decimal, it represents the value 14.5 itself. Decimals are based on the powers of 10, where each digit represents a specific fraction. In this case, 14.5 doesn't directly represent any particular fraction.

To compare the fractional equivalents, we can convert 14.5% and 14.5 into their fractional forms:

14.5% = 14.5/100
14.5 (as a decimal) = 14.5/1

Now we can see that the numerator of 14.5% is 14.5, while the numerator of 14.5 (as a decimal) is also 14.5. However, the denominators are different. In the case of 14.5%, the denominator is 100, while in the case of 14.5 (as a decimal), the denominator is 1.

Therefore, 14.5% is equal to 14.5/100, while 14.5 (as a decimal) is equal to 14.5/1. Since 100 is not equal to 1, we can conclude that your friend is incorrect in assuming that 14.5% is equivalent to the decimal 14.5.