Section 5.5 Section 5.5

Page 205Page 205

Multiplying Fractions and Mixed Multiplying Fractions and Mixed numbersnumbers

To To Multiply fractionsMultiply fractions, you , you multiply their numerators multiply their numerators andand multiply their denominators.multiply their denominators.

Example: Example: 77 x x 2 2 ==1414 8 3 248 3 24 Must reduce if possible:7/12Must reduce if possible:7/12

More examples:More examples:

1. 1. 3/5 x ¼3/5 x ¼ Answer: 3/20Answer: 3/202. 2. 5/6 x 4/55/6 x 4/5 Answer: 2/3Answer: 2/33. 3. 3/10 x 5/83/10 x 5/8 Answer: 3/16Answer: 3/16

More examples- Find each productMore examples- Find each product

4. 4. ¾ x 4/3¾ x 4/3 Answer: 1Answer: 1 5. 5. ½ x 2/3½ x 2/3 Answer: 1/3Answer: 1/3 6. 6. ¾ x 2/5¾ x 2/5 Answer: 3/10Answer: 3/10

Multiplying Mixed numbersMultiplying Mixed numbers 2 3/5 x 4 ½2 3/5 x 4 ½ Step oneStep one: change to improper : change to improper

fractions.fractions. 2 2 3 3 4 4 11 5 25 2 (5x2+3=13) (5x2+3=13) 13/513/5 (2x4+1=9) (2x4+1=9) 9/29/2 Step 2: Step 2: multiply fractionsmultiply fractions

13 13 x x 99 = = 13x9= 11713x9= 117 5 2 5x2= 105 2 5x2= 10Step 3: Step 3: Reduce 11 7/10Reduce 11 7/10

More examplesMore examples

3 4/9 x 2 ¼3 4/9 x 2 ¼ Answer:7 ¾Answer:7 ¾ 4 3/8 x 164 3/8 x 16 Answer: 70Answer: 70

What is 3/7 What is 3/7 ofof 28? 28?

The word The word ofof means multiply! means multiply! 3/7 x 283/7 x 28 33 x x 2828 7 17 1 3x28= 843x28= 84 7 x 1= 77 x 1= 7 Reduce: 84divided by 7 = 12Reduce: 84divided by 7 = 12

Assignment:Assignment:

Worksheet 5.5Worksheet 5.5

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