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Name _____________________ Topic 8 Guided Notes Multiplying Fractions & Mixed Numbers Information, Definitions, Solutions Key Words/Topic and Assignments 8.1 Multiplying a fraction and a whole number Today’s Concept There are times when we need to multiply a fraction times a whole number. The easiest way to do this is to turn the whole number into a fraction and then multiply the two fractions together. Any whole number can be made into a fraction by using the number as the numerator and placing a 1 in the denominator. 2/3 * 15 = 2/3 * 15/1 When you multiply fractions first multiply the numerators times the numerators. 2*15 =30 Then multiply the denominators times the denominators (YOU DO NOT NEED OR WANT COMMON DENOMINATORS!!) 3*1= 3 Place the numerator over the denominator and reduce. Remember a fraction can be read as a division problem when reducing. 30/3 or 30 ÷ 3 = 10 Group Work 1-8 on page 186. Show work when appropriate. Use complete sentences when appropriate. Don’t forget your labels. HOMEWORK: 10-25 P. 187 in textbook. Often times in a “story problem” we can tell that fraction multiplication is necessary because of the word “OF”. For example, “Mr. Levine read 3/4 of his 24 comic books. How many comic books did he read?” If you multiply 3/4 by 24 then you will get the answer. 1. Group Work 1-8 on page 186. Show work when appropriate. Use complete sentences when appropriate. Don’t forget your labels. 2. 3. HOMEWORK: 10-25 P. 187 in textbook. 4. 5. 6. 7. 8. Key Words/Topic and Assignments 8.3 Multiplying Fractions Information, Definitions, Solutions Today’s Concept We multiply fractions just like I showed you yesterday. Refer to your 8.1guided notes. However, there are ways to make multiplying fractions easier. Remember when we are done with a fraction problem, we always have to reduce the answer to simplest form. Sometimes it is easier to reduce before multiplying. Let’s look at multiplying 12 * 14 16 24 To simply before multiplying you look to see if the numerator of the 1st fraction has a common factor with denominator of the 2nd fraction. Do they? Yes the GCF = 12. You can reduce the numerator of the 1st fraction and denominator of the 2nd fraction by a factor of 12. 12 * 14 1 * 14 16 24 becomes 16 2 Now look at the numerator of the 2nd fraction and the denominator of the 1st fraction. They also have a common factor; this time 7. Reduce the numerator of the 2nd fraction and the denominator of the 1st fraction by the common factor. 1 * 14 1 *7 16 2 becomes 8 2 Now multiply across to get 7/16-already simplified! It is often easier to deal with smaller numbers and that is why you may want to simplify before multiplying. Group Work 1-6 on page 190. Show work when appropriate. Use complete sentences when appropriate. Don’t forget your labels. HOMEWORK: 8-26 P 191. In textbook. 1. 2. Group Work 1-6 on page 190. Show work when appropriate. Use complete sentences when appropriate. Don’t forget your labels. 3. 4. HOMEWORK: 8-26 P 191. In textbook. 5. 6. Key Words/Topic and Assignments 8.4 Multiplying Mixed Numbers Information, Definitions, Solutions Today’s Concept There are two methods for multiplying mixed numbers. One method uses the distributive property. The other method converts the mixed numbers into fractions first. We will concentrate on the conversion method. In order to convert a mixed number into a fraction follow this process: Convert 5 1/4 into a fraction. 1. Multiply the denominator by the whole number. 5*4=20 2. Add the product of your multiplication to the numerator 20 + 1 = 21. 3. This becomes the new numerator, the denominator stays the same. 5 1/4 = 21/4 Once you’ve converted the mixed numbers to fractions you multiply the exact same way as before! 2. Group Work 2-10 even on page 192. Show work when appropriate. Use complete sentences when appropriate. Don’t forget your labels. HOMEWORK: 11-27 P. 192 in textbook. 4. Group Work 2-10 even on page 192. 6. Show work when appropriate. Use complete sentences when appropriate. Don’t forget your labels. HOMEWORK: 11-27 P. 192 in textbook. 8. 10.