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 Subject: math Category: Miscellaneous Asked by: campbell66-ga List Price: \$2.00 Posted: 29 Mar 2004 08:25 PST Expires: 28 Apr 2004 09:25 PDT Question ID: 321691
 `find the sum of 1 1/2 and 3 5/8`
 ```There are steps taken to add mixed numbers with different denominators First, rename both addends to fractions. To do this take the denominator x the integer then add the numerator. So: 1 1/2 = 2 (denominator) X 1 (integer) + 1 (numerator) = 3/2 3 5/8 = 8 (demoniator) x 3 (integer) + 5 (numerator) = 29/8 So our problem is now 3/2 + 29/8 We need to find the lowest common denominator. First, find the greatest common factor. The GCF is the largest number that is a common factor (or number) of both denominators. In this case, the GCF is 2. We can either: Multiply the denominators and divide by the GCF: 8 x 2 = 16 and 16 /2 = 8 OR Divide one of the denominators by the GCF and then multiply that by the other denominator: 2/2 = 1 1 x 8 = 8 Next we rename the fractions to use Least Common Denominator: 3/2 * 4/4 = 12/8 29/8 is already using the LCD Now we have 12/8 + 29/8 = 41/8 Now we need to simpllfy the answer. Two ways to do this. Determine the largest whole number that is created by dividing 41 by 8, which is 5. 5 x 8= 40 41 - 40= 1 Therefore, we have 5 1/8 OR Simply divide 41 by 8 and convert to a fraction and reduce. 41/8 = 5.125 or 5 125/1000 Reduce 125/1000 which reduces down to 1/8 Therefore: 1 1/2 + 3 5/8 = 5.125 or 5.125 or 5 1/8 -THV```
 ```That's a long, involved process for a simple problem: 1/2 = 4/8 therefore 1 4/8 + 3 5/8 = 4 9/8 = 5 1/8```