Writing a Remainder as a Reduced FractionDate: 08/29/2001 at 23:56:03 From: Maria Verduzco Subject: To do division and write the the remainder as a reduced fraction Dr. Math, I am having trouble doing division and writing the remainder as a reduced fraction. I only have two problems to solve: 1,652 divided by 12 and 43,144 divided by 45. Thanks so much! Date: 08/30/2001 at 13:03:05 From: Doctor Peterson Subject: Re: To do division and write the the remainder as a reduced fraction Hi, Maria. I'll give you a simple example. Let's divide 23 by 4: ___5_ 4 ) 23 20 -- 3 This means that if we divide 23 by 4 we get 5, with a remainder of 3. How can we treat that remainder as a fraction? Look at it this way. I want to fill boxes with books. Four books fit in a box, and I have 23 books. The division shows me that I can fill 5 boxes completely, and will have 3 books left over. How full will the next box be? It will contain 3 out of 4 books, so it will be 3/4 full. So our answer is, 23 / 4 = 5 3/4. We use the remainder as the numerator of the fraction, and the divisor as the denominator. This process is actually identical to that of converting an improper fraction to a mixed number. You can read more about that by going to our Search page http://mathforum.org/mathgrepform.html and looking for the keywords improper fraction mixed . If you still have trouble, write back and show me your work so I can check it and see where, if at all, you have made a mistake. - Doctor Peterson, The Math Forum http://mathforum.org/dr.math/ |
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