Add Mixed Numbers
- 1. Add Mixed Numbers Mrs. Young EMC 1
- 2. Quick Review Denominator – the number at the bottom of the fraction. This number names the total number of parts that equals a whole Unlike denominators This means that the denominators are the different Example: Look at the fractions below 3 4 1 6 The fractions have different denominators– called unlike denominators and
- 3. Quick Review Continued… Mixed number: a mixed number is a whole number and a fraction. Example: 2 3 10
- 4. Add Mixed Numbers Remember, in order to add fractions you need to have a common denominator. Add 2 3 10 + 3 1 10
- 5. Step 1: Find the least common denominator to find like fractions. In this case the fractions are already like. 2 3 10 + 3 1 10
- 6. Step 2: Add the fractions 2 3 10 + 3 1 10 4 10
- 7. Step 3: Add the whole numbers 2 3 10 + 3 1 10 4 10 5
- 8. Step 4: Simplify the fraction part of the sum, if possible 4 10 5 In order to simplify the fraction, you must find the GCF of the numerator and the denominator. Remember to list all of the factors: 4: 1, 2, 4 10: 1, 2, 5, 10 GCF = 2 = ÷ ÷ 2 2 2 5 5
- 9. Step 1: 1 3 7 + 3 1 2 Find the least common denominator to find like fractions. 3 7 + x 2 x 2 1 2 x 7 x 7 = 6 14 + 7 14
- 10. Step 2: Add the fractions 1 6 14 3 7 14 13 10 +
- 11. Step 3: Add the whole numbers 1 6 14 3 7 14 13 14 + 3
- 12. Step 4: Simplify the fraction part of the sum, if possible 13 14 3 = ÷ ÷ 1 1 13 14 3 In order to simplify the fraction, you must find the GCF of the numerator and the denominator. Remember to list all of the factors: 13: 1, 13 14: 1, 2, 7, 14 GCF = 1
- 13. Step 1: Find the least common denominator to find like fractions. 2 3 5 + 4 6 7 3 5 + x 7 x 7 6 7 x 5 x 5 = 21 35 + 30 35
- 14. Step 2: Add the fractions 2 21 35 4 30 35 51 35 +
- 15. Step 3: Add the whole numbers 2 21 35 4 30 35 51 35 + 6
- 16. Step 4: Simplify the fraction part of the sum, if possible 51 35 6 This time, our fraction is an improper fraction. So, we MUST turn this into a mixed number. 51 35 = 16 35 1
- 17. Step 4 continued Now we are left with this and we must add again! 16 35 1 + 6 = 16 35 7 Make sure that you simplify the fraction! In this case, it is already reduced to lowest terms.
- 18. Step 1: Find the least common denominator to find like fractions. 1 2 9 + 4 2 3 2 9 + x 3 x 3 2 3 x 9 X 9 = 6 27 + 18 27
- 19. Step 2: Add the fractions 1 6 27 4 18 27 24 27 +
- 20. Step 3: Add the whole numbers 1 6 27 4 18 27 24 27 + 5
- 21. Step 4: Simplify the fraction part of the sum, if possible 24 27 5 In order to simplify the fraction, you must find the GCF of the numerator and the denominator. Remember to list all of the factors: 24: 1, 2, 3, 4, 6, 8, 12, 24 27: 1, 3, 9, 27 GCF = 3 = ÷ ÷ 3 3 8 9 5
- 22. Your turn! 2 11 + 5 2 3 3
- 23. Try another! 1 7 + 3 3 4 4