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The easiest way that I have found to look at these kinds of problems is as follows:

First, we know that 87.5% is just a fancy way of writing 0.875, and we want to get rid of the decimal point and write is a fraction. To do this, we multiply it by 1000 to get 875, but we have to also divide it by 1000 to keep it the same number, so now we have:
875/1000


From here we can divide by the common factors, and in this case 5 seems to be the most obvious choice. So divide top and bottom by 5 to get:
175/200


Rinse and repeat to get:
35/40


Once more to get:
7/8


And there we have 87.5% as a fraction in lowest terms (simplest form).

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15y ago

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