Lesson 5 3 dividing mixed numbers
- 1. Name __________________________________ Date __________________ Mrs. Labuski & Mrs. Rooney Period________ Lesson 5-3 Dividing Fractions & Mixed Numbers VOCABULARY DEFINTION EXAMPLE Two numbers are Number Reciprocal 1 5 reciprocals if their 5 1 product is 1. 3 4 RECIPROCAL Dividing by a 4 3 number is the same as multiplying by its reciprocal. Find the reciprocals: Change mixed number to an improper fraction and then find the reciprocal.
- 2. Dividing fractions 2 ÷2 = 5 4 1. Keep the first fraction Change division to multiplication 2 4 = Flip the second fraction to get the as reciprocal 5 2 (keep, change, reciprocal) 1 2 4 2. Cross reduce. = 5 2 1 1 4 4 3. Multiply the numerators = 5 1 1 4 4 4. Multiply the denominators = 5 1 5 4 5. Reduce if necessary. 5 Dividing mixed numbers 2 ÷2 1 5 4 = 1. Change mixed numbers into improper 7 ÷2 = fractions 5 4 2. Rewrite as multiplication using the reciprocal 7 4 = of the second fraction.(keep, change, reciprocal) 5 2 7 4 3. Cross reduce if able. = 5 2 7 4 28 4. Multiply the numerators = 5 2 1 4 28 5. Multiply the denominators = 5 2 10 6. Reduce /convert to a mixed number if 28 8= 4 necessary. = 2 2 10 10 5
- 4. Name __________________________________ Date __________________ Mrs. Labuski & Mrs. Rooney Period________ Lesson 5-3 Dividing Fractions & Mixed Numbers VOCABULARY DEFINTION EXAMPLE Two numbers are Number Reciprocal 1 5 reciprocals if their 5 1 product is 1. 3 4 RECIPROCAL Dividing by a 4 3 number is the same as multiplying by its reciprocal. Find the reciprocals: Change mixed number to an improper fraction and then find the reciprocal.
- 5. Dividing fractions 2 ÷2 = 5 4 1. Keep the first fraction Change division to multiplication 2 4 = Flip the second fraction to get the as reciprocal 5 2 (keep, change, reciprocal) 1 2 4 2. Cross reduce. = 5 2 1 1 4 4 3. Multiply the numerators = 5 1 1 4 4 4. Multiply the denominators = 5 1 5 4 5. Reduce if necessary. 5 Dividing mixed numbers 2 ÷2 1 5 4 = 1. Change mixed numbers into improper 7 ÷2 = fractions 5 4 2. Rewrite as multiplication using the reciprocal 7 4 = of the second fraction.(keep, change, reciprocal) 5 2 7 4 3. Cross reduce if able. = 5 2 7 4 28 4. Multiply the numerators = 5 2 1 4 28 5. Multiply the denominators = 5 2 10 6. Reduce /convert to a mixed number if 28 8= 4 necessary. = 2 2 10 10 5
- 6. K C R K C R 5 1 11 ÷ 11 7 3 6 5 4 7 8 2 K C R 15 1 1 11 7 21 6 51 4 11 1 16 7 4 13 ÷ 11 9 ÷ 3 3 ÷ 9 4 4 10 1 4 1 K C R K C R K C R 13 4 1 39 1 13 1 14 11 10 31 4 93 13 3 1 11 10 12 24 ÷ 6 5÷ 23 17 ÷ 13 9 7 6 10 8 4 K C R K C R K C R 424 7 5 105 17 41 9 61 36 23 28 13 28 9
- 7. Answers to tonight’s homework: