Add Mixed Numbers

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Learn how to add mixed numbers!

Learn how to add mixed numbers!

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  • 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