Converting Fractions to/from Mixed NumbersDate: 07/21/97 at 00:01:47 From: Sarai Subject: Mixed Numbers How do you change a fraction to a mixed number in simplest form? For example: 9/5 How do you change a mixed number to an improper fraction? For example: 3 1/16 Date: 08/03/97 at 13:57:40 From: Doctor Terrel Subject: Re: Mixed Numbers Hi Sarai, Lucky for us, changing fractions to mixed numbers, and vice versa, is basically a simple thing to do. For your examples, here's how: 9/5 Divide 9 by 5. It's 1 remainder 4. Answer is 1 4/5. 3 1/16 Multiply 3 by 16; it's 48. Add the 1 (the numerator); sum is 49. Put 49 over 16. Answer is 49/16. Of course, that's just the "how," not the "why." In your first example, 9/5 can be thought of as "how many fives are in 9?" [one and 4 units left over] So we have "one whole group" and 4 parts of a 5-group. So 1 and 4/5. We can also think of it as 9 fifths, as if we had several pizzas cut into 5 equal portions. Five of those 9 portions would form one complete pizza, and the remaining 4 would be, well, 4 fifths. Again we have 1 and 4/5. For your second example, 3 1/16 could be thought of as chocolate cakes, each one cut into 16 equally sized pieces, each called "one sixteenth". [I hope you aren't getting too hungry with all this talk of food. :) ] The 3 whole cakes that we start with would give us 48 pieces (3 x 16); then we count the extra piece that came from some other cake (I don't know where it was or who cut it) and we get 49 sixteenths, or 49/16. I hope this helps you a little bit. Perhaps you could also check with a good textbook to see what it says. It'll probably have some drawings. For more information on how to work with fractions, see Elementary Fractions & Decimals http://mathforum.org/library/drmath/sets/elem_fractions.html , Middle School Fractions & Percentages http://mathforum.org/library/drmath/sets/mid_fractions.html , or Compound Fractions - S.O.S. Math http://www.math.utep.edu/sosmath/algebra/fraction/frac5/frac5.html . -Doctor Terrel, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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