SOLUTION: Change 475% to mixed numbers with the fraction part in lowest term

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Change 475% to mixed numbers with the fraction part in lowest term       Log On


   



Question 1059724: Change 475% to mixed numbers with the fraction part in lowest term

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
a percentage is a ratio, or you could see it as a fraction with 100 for a denominator.
%22475%25%22=475%2F100=4%2675%2F100=4%263%2F4
You could say that the simplifications above can be explained as
475%2F100=%28400%2B75%29%2F100=400%2F100%2B75%2F100=4%2B75%2F100=4%2675%2F100
and 75%2F100=3%2A25%2F%284%2A25%29=3%2Across%2825%29%2F%284%2Across%2825%29%29=3%2F4 or
75%2F100=3%2A25%2F%284%2A25%29=%283%2F4%29%2A%2825%2F25%29=%283%2F4%29%2A1=3%2F4 , but we usually do those steps in our head.
After all, at least in the USA, we can all multiply times 25 thanks to the existence of the quarter coin.