Subtract Mixed Numbers
- 1. Subtract Mixed Numbers Mrs. Young EMC 1
- 2. Quick Review Remember that when you subtract fractions you may need to rename the first mixed number.
- 3. Subtract the fractions 13 - 6 3 4 1 6
- 4. Step 1: Find the least common denominator (LCD) of the fractions. 13 - 6 3 4 = = 9 12 2 12 1 6
- 5. Our new problem is: 13 - 6 9 12 2 12
- 6. Step 2: Rename using 12 as the denominator 13 2 12 = 12 + 2 12 = 13 = 12 12 12 2 12 + 1 + + 2 12 + = 12 14 12 13 2 12
- 7. Step 2 continued… Our new subtraction problem is: 13 - 6 9 12 = = 6 9 12 12 14 12 2 12
- 8. Step 3: Subtract the fractions. 6 9 12 12 14 12 - 5 12
- 9. Step 4: Subtract the whole numbers 6 9 12 12 14 12 - 5 12 6
- 10. Step 5: Simplify the fraction into lowest terms. In this case the fraction is in lowest terms. 5 12 6
- 11. Subtract the fractions 8 - 2 4 5 3 8
- 12. Step 1: Find the least common denominator (LCD) of the fractions. 8 - 2 4 5 = = 32 40 15 40 3 8
- 13. Our new problem is: 8 - 2 32 40 15 40
- 14. Step 2: Rename using 40 as the denominator 8 15 40 = 7 + 15 40 = 8 = 7 40 40 15 40 + 1 + + 15 40 + = 7 55 40 8 15 40
- 15. Step 2 continued… Our new subtraction problem is: 8 - 2 32 40 = = 2 32 40 7 55 40 15 40
- 16. Step 3: Subtract the fractions 2 32 40 7 55 40 - 23 40
- 17. Step 4: Subtract the whole numbers 2 32 40 7 55 40 - 23 40 5
- 18. Step 5: Simplify the fraction in lowest terms. In this case the fraction is in lowest terms. 23 40 5
- 19. Subtract the fractions 6 - 3 2 5 1 7
- 20. Step 1: Find the least common denominator (LCD) of the fractions. 6 - 3 2 5 = = 14 35 5 35 1 7
- 21. Our new problem is: 6 - 3 14 35 5 35
- 22. Step 2: Rename using 35 as the denominator 6 5 35 = 5 + 5 35 = 6 = 5 35 35 5 35 + 1 + + 5 35 + = 5 40 35 6 5 35
- 23. Step 2 continued… Our new subtraction problem is: 6 - 3 14 35 = = 3 14 35 5 40 35 5 35
- 24. Step 3: Subtract the fractions. 3 14 35 5 40 35 - 26 35
- 25. Step 4: Subtract the whole numbers. 3 14 35 5 40 35 - 26 35 2
- 26. Step 5: Simplify the fraction in lowest terms. In this case the fraction is in lowest terms. 26 35 2
- 27. You try it! Subtract 8 - 5 7 9 3 8
- 28. Try another! Subtract 9 - 5 8 9 1 5