If the sales tax for a city is eight percent, express this as a fraction in its
Now in this question, eight percent represents a proportion of a whole thing. So
what they’re looking for, is a fraction that represents that same proportion of something. And
then you- they want you to simplify that fraction.
Now to find eight percent of a value, what we do, is multiply that value by eight
over a hundred. Eight percent means eight hundredths of something. So the fraction that represents the same proportion of the whole thing as eight
percent, is eight over a hundred. Now eight over a hundred, we can divide the top and the
bottom by two. In fact, we could divide the top and bottom by four.
Now fours into a hundred go twenty-five times, four times twenty-five is a
hundred. And fours go into eight two times. So this is equivalent to two over twenty-five.
Now two over twenty-five won’t simplify any further, so that’s our answer. The
fraction in its simplest form, that represents the same proportion as eight percent, is two