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Cornell Notes: Multiplying and Dividing Fractions Topic: Students will be able to multiply and Divide fractions Name: ___________________________________ Class/Teacher: __ ________________ Core: ________ Date: __________ Questions/Main Ideas Grade: __6______ Notes/Examples Multiplying Fractions: Multiply the numerators. Then multiply the denominators. Then Simplify. Example: 3/5 * 1/2 3*1=3 5 * 2 = 10. The fraction is 3/10. Multiplying Mixed Numbers: To find the product of mixed numbers, write each mixed number as an improper fraction before multiplying. Example: 2 2/3 * 3 1/4 2 2/3= 8/3 3 1/4= 13/4 8/3 * 13/4 8 * 13 = 104 3 * 4= 12 OR Simplify 26/ 3 = 8 2/3 8 and 4 have a GCF of 4 so we can divide both 8 and 4 by 4. 8/4 =2 and 4/4 = 1 2/3 * 13/1 2 * 13 = 26 and 1 *3 = 3 26/3 = 8 2/3 Dividing Fractions: To divide fractions, multiply by the reciprocal. Reciprocal- Two numbers are reciprocals if their product is 1. Example 2/3 * 3/2 = 1. 3/2 is the reciprocal of 2/3. Example: 1/5 ÷ 1/4 1/5 * 4/1 = 4/5 Example: 7 ÷ 3/5 7/1 * 5/3 = 35/3 = 11 2/3 Dividing Mixed Numbers: To divide mixed numbers, start by writing the numbers a s improper fractions. Example: 2 1/4 ÷ 3 2 1/4 = 9/4 3 = 3/1 9/4 ÷ 3/1 = 9/4 * 1/3 = 9/12 Simplify 9/12= 3/4 Practice and Problem Solving Exercises Summary, Reflection, Analysis: _________________________________________________________________________________________________ _________________________________________________________________________________________________ _________________________________________________________________________________________________ _________________________________________________________________________________________________ _________________________________________________________________________________________________ _________________________________________________________________________________________________