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Subtract Mixed Numbers

Subtract Mixed Numbers. 6.C.1.a Add & Subtract fractions and mixed numbers and express answers in simplest form. Quick Review. Remember that when you subtract fractions you may need to rename the first mixed number. Subtract the fractions. 1. 3. 13. 6. -. 6. 4. Step 1:.

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Subtract Mixed Numbers

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  1. Subtract Mixed Numbers 6.C.1.a Add & Subtract fractions and mixed numbers and express answers in simplest form.

  2. Quick Review • Remember that when you subtract fractions you may need to rename the first mixed number.

  3. Subtract the fractions 1 3 13 6 - 6 4

  4. Step 1: • Find the least common denominator (LCD) of the fractions. 2 13 1 = 12 6 - 3 9 = 6 4 12

  5. Our new problem is: 2 9 13 6 - 12 12

  6. Step 2: 2 13 12 • Rename using 12 as the denominator 2 2 = 13 + 13 12 12 2 = 12 1 + + 12 2 12 = 12 + + 12 12 14 12 = 12

  7. Step 2 continued… • Our new subtraction problem is: 14 13 2 12 = 12 12 - 9 9 = 6 6 12 12

  8. Step 3: • Subtract the fractions. 14 12 12 - 9 6 12 5 12

  9. Step 4: • Subtract the whole numbers 14 12 12 - 9 6 12 5 6 12

  10. Step 5: • Simplify the fraction into lowest terms. • In this case the fraction is in lowest terms. 5 6 12

  11. Subtract the fractions 3 4 8 2 - 8 5

  12. Step 1: • Find the least common denominator (LCD) of the fractions. 15 8 3 = 40 8 - 4 32 = 2 5 40

  13. Our new problem is: 15 32 8 2 - 40 40

  14. Step 2: 15 8 40 • Rename using 40 as the denominator 15 15 + = 8 8 40 40 15 = 1 + + 7 40 40 15 = 7 + + 40 40 55 7 = 40

  15. Step 2 continued… • Our new subtraction problem is: 55 8 15 7 = 40 40 - 32 32 = 2 2 40 40

  16. Step 3: • Subtract the fractions 55 7 40 - 32 2 40 23 40

  17. Step 4: • Subtract the whole numbers 55 7 40 - 32 2 40 23 5 40

  18. Step 5: • Simplify the fraction in lowest terms. • In this case the fraction is in lowest terms. 23 5 40

  19. Subtract the fractions 1 2 6 3 - 7 5

  20. Step 1: • Find the least common denominator (LCD) of the fractions. 5 6 1 = 35 7 - 2 14 = 3 5 35

  21. Our new problem is: 5 14 6 3 - 35 35

  22. Step 2: 5 6 35 • Rename using 35 as the denominator 5 5 + = 6 6 35 35 5 = 1 + + 5 35 35 5 = 5 + + 35 35 40 5 = 35

  23. Step 2 continued… • Our new subtraction problem is: 40 6 5 5 = 35 35 - 14 14 = 3 3 35 35

  24. Step 3: • Subtract the fractions. 40 5 35 - 14 3 35 26 35

  25. Step 4: • Subtract the whole numbers. 40 5 35 - 14 3 35 26 2 35

  26. Step 5: • Simplify the fraction in lowest terms. • In this case the fraction is in lowest terms. 26 2 35

  27. You try it! • Subtract 3 7 8 5 - 8 9

  28. Try another! • Subtract 1 8 9 5 - 5 9

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