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4. 19 ⁄ 5 cups of coffee hours 49⁄ 9 pounds of ham 98 ⁄ 15 annoying math problems 37⁄ 8 Multiplying and Dividing Mixed Numbers This section is going to be much shorter than you probably anticipated when you saw its title. The fact of the matter is there’s no way to multiply or divide mixed numbers. Don’t read that as saying mixed numbers can’t be multiplied or divided. They just can’t be while they’re mixed numbers. And that’s what the preceding section was all about. In order to divide or multiply mixed numbers, first change them to fractions greater than one.
Qxd 26 4/2/07 11:47 PM Page 26 Math You Can Really Use—Every Day A House Divided . . The second uncombining operation is division, which is the most misunderstood whole-number operation. Some view division’s relationship to subtraction the same as multiplication’s relationship to addition. It is subtracting the same number over and over again until the starting number has been “used up,” or caught up to. Others view division as the undoing of multiplication, since dividing one number by another gives you the number that what you’re dividing by was multiplied by to get the number being divided.
4. Friday morning Jakob had125 ⁄ 8 studs, but he used 815 ⁄ 16 to frame a dividing wall. How many studs remained? Answers 1. 2. 3. 4. 31 ⁄ 4 sheets 15 ⁄ 12 skeins 47 ⁄ 10 pounds 311 ⁄ 16 studs Changing Mixed Numbers to Fractions Earlier in this chapter we discussed changing fractions greater than one to mixed numbers (really mixed numerals, but let’s not get technical) by dividing the numerator by the denominator and writing the remainder as a fraction. Sometimes it’s desirable to change a mixed number to a fraction larger than one.