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Mastering Addition and Subtraction of Mixed Numbers and Fractions

Dive into the world of mixed numbers with our detailed guide on adding and subtracting fractions! This tutorial clearly explains how to handle mixed numbers, find least common denominators (LCD), and convert between improper fractions and mixed numbers. You'll learn to identify equivalent fractions and apply shortcuts for simplifying your workings. Perfect for students and anyone looking to strengthen their fractional arithmetic skills, this resource will make manipulating mixed numbers easy and enjoyable.

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Mastering Addition and Subtraction of Mixed Numbers and Fractions

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  1. Add & Subtract Fractions With Mixed Numbers

  2. Mixed Numbers • A mixed number has a part that is a whole number and a part that is a fraction. 3 1 = 4

  3. Mixed Numbers Shortcut to find the LCD. Will 3 divide into 6? Use 6 as your LCD. 1 10 3 6 1 3 + 6 6

  4. Mixed Numbers Now find the equivalent fractions for 1/3 & 1/6. 1 10 3 6 x 2 = 1 3 + 6 x 1 = 6 Ask what do you multiply 3 by to get 6 and what do you multiply 6 by to get 6.

  5. Mixed Numbers You are writing equivalent fractions, so fill in your Giant One. 1 x 2 = 10 3 6 x 2 = 1 x 1 = 3 + 6 x 1 = 6

  6. Mixed Numbers 1 2 Now multiply across. x 2 = 10 3 6 x 2 = 1 1 x 1 = 3 + 6 x 1 = 6

  7. Mixed Numbers 1 2 Add numerators. x 2 = 10 3 6 x 2 = 1 1 x 1 = 3 + 6 x 1 = 6 3 6

  8. Mixed Numbers 1 2 Add whole numbers. x 2 = 10 3 6 x 2 = 1 1 x 1 = 3 + 6 x 1 = 6 3 13 6

  9. Mixed Numbers Simplify Your Answer ÷ 3 1 13 3 13 = 6 ÷ 3 2

  10. Mixed Numbers Find the least common denominator for 5 and 3 4 11 5 15 1 2 + 3 15

  11. Mixed Numbers Ask yourself what you multiply the denominator by to get 15. 4 11 5 15 x 3 = 1 2 + 3 x 5 = 15

  12. Mixed Numbers 4 11 x 3 = Fill in your giant one. 5 15 x 3 = 1 x5= 2 + 3 x 5 = 15

  13. Mixed Numbers Multiply straight across. 4 12 11 x 3 = 5 15 x 3 = 1 5 x5 = 2 + 3 x 5 = 15

  14. Mixed Numbers Add the Numerators. Denominator stays the same. 4 12 11 x 3 = 5 15 x 3 = 1 5 x5 = 2 + 3 x 5 = 15 17 15

  15. Mixed Numbers 2 1 4 12 11 x 3 = 15 5 15 x 3 = 15) 17 1 5 x5 = 2 + 15 3 x 5 = 15 2 17 15 IMPROPER

  16. Mixed Numbers Add Your 1 to Your Whole Numbers 1 2 1 4 12 11 x 3 = 15 5 15 x 3 = 15) 17 1 5 x5 = 2 + 15 3 x 5 = 15 2 17 15 IMPROPER

  17. Mixed Numbers Put remainder fraction by answer 1 2 1 4 12 11 x 3 = 15 5 15 x 3 = 15) 17 1 5 x5 = 2 + 15 3 x 5 = 15 2 17 2 14 15 15 IMPROPER

  18. Mixed Numbers 1 11 1 5 20 24 x4= 24 6 24 x 4= 24) 35 5 15 3 x3= 24 + 8 x 3= 24 11 11 35 28 24 24 IMPROPER

  19. Mixed Numbers 8 3 9 x3= 5 15 x 3= 2 1 5 x5= - 3 x 5= 15 6 4 15

  20. Mixed Numbers 3 9 5 x3= 4 12 x 3= 3 1 4 x4= - 3 x 4= 12 2 5 12

  21. Mixed Numbers FRACTION REVIEW Take out your study guide

  22. Add Mixed Numbers #13 1 5 20 11 x 4 = 24 1 6 24 x 4 = 24 5 15 24) x 3 = 35 3 + 8 x 3 = 24 24 28 11 35 11 24 24 IMPROPER

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