Math CentralQuandaries & Queries


Question from Kenneth:

What does the following indicate?

"A percent is another way of expressing the ratio or fractional relationship
of two numbers."

I know what a ratio is, but the term "fractional relationship" confuses me.

I thank you for your reply.

Hi Kenneth,

Suppose I have $\$10$ and you have $\$25$ then the fractional relationship of what I have to what you have is $\frac{10}{25}.$ You probably wouldn't leave the fraction in that form but divide the numerator and denominator by 5 to get the equivalent fraction $\frac25.$ In other works I have two-fifths of what you have. But you could just as easily multiplied the numerator and denominator of $\frac{10}{25}$ by 4 to obtain the equivalent fraction $\frac{40}{100}.$ But this is a percent, "per one-hundred". Thus I have $40\%$ of what you have.


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