Fractions and DecimalsDate: 02/15/99 at 08:21:05 From: Brittney Subject: Fractions and Decimals I have to make 17/11 a proper fraction, and I don't know how to do it. Date: 02/15/99 at 22:47:01 From: Doctor Peterson Subject: Re: Fractions and Decimals The basic idea in this problem is that a proper fraction has to be less than one; that is, the numerator (top) must be less than the denominator (bottom). In 17/11, that isn't true, so you have to find a way to rewrite it as a mixed number so that the fraction part is proper. Suppose I take a piece of paper and cut it into 11 equal strips. That gives me 11 elevenths. To get 17 elevenths, how many more do I need? Yes, 17 - 11 = 6. So I take another sheet of paper and cut it into elevenths, and take 6 of them. Now I have 17 elevenths. But I can also call it one whole sheet and 6 more elevenths: 1 6/11. That's the mixed fraction form for 17/11. What I did was to divide 17 by 11 and find that the result is 1 with a remainder of 6. That is, it took one whole sheet and 6 extra elevenths. That's how you solve this sort of problem: divide the numerator by the denominator, and use the quotient as the whole number part and the remainder as the new numerator (with the same denominator you started with). Here's another example: what is 28/3 as a mixed number? Divide 28 by 3 and you get 9 with a remainder of 1. So the 28/3 can be written as 1 9 --- 3 I hope that helps. - Doctor Peterson, The Math Forum http://mathforum.org/dr.math/ |
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