Adding Mixed Fractions with Regrouping
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The document discusses how to add fractions with the same or unlike denominators by regrouping. It explains that adding fractions with the same denominators involves adding the whole numbers and fractions separately and then simplifying. Adding fractions with unlike denominators requires finding the least common denominator, converting the fractions so they share the LCD, adding the whole numbers and converted fractions, and then simplifying the final fraction. Examples are provided to illustrate the steps for adding mixed fractions with like and unlike denominators through regrouping.
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Adding Mixed Fractions with Regrouping
- 2. ADDING FRACTIONS WITH THE SAME DENOMINATOR
- 5. ADDING MIXED FRACTIONS WITH REGROUPING
- 6. ADDING MIXED FRACTIONS WITH REGROUPING • REGROUPING −rearranging numbers when adding or subtracting.
- 7. ADDING MIXED FRACTIONS WITH LIKE DENOMINATORS BY REGROUPING • LIKE FRACTIONS / SIMMILAR FRACTIONS – fractions with matching denominators.
- 8. ADDING MIXED FRACTIONS WITH LIKE DENOMINATORS BY REGROUPING Example :
- 9. 3 STEPS • Step 1: Add the whole numbers.
- 10. 3 STEPS • Step 2 : Add the fractions.
- 11. 3 STEPS • Step 3 : Simplify the fraction.
- 12. ADDING MIXED FRACTIONS WITH UNLIKE DENOMINATORS BY REGROUPING • UNLIKE FRACTIONS / DISSIMMILAR FRACTIONS – fractions with non-matching denominators.
- 13. ADDING MIXED FRACTIONS WITH UNLIKE DENOMINATORS BY REGROUPING • Example :
- 14. 5 STEPS • Step 1 :Find the Least Common Denominator of the unlike fraction.
- 15. 5 STEPS • Step 2 : Divide the LCD to the denominator of each unlike fraction then multiply to the numerator.
- 16. 5 STEPS • Step 3 : Add the whole numbers.
- 17. 5 STEPS • Step 4 : Add the fractions.
- 18. 5 STEPS • Step 5 : Simplify the fraction.
- 19. Problem Solving : 1. 2. Nina worked for 2 ½ hours. Josh worked for 1 ¼ hours. How many hours did the two work?
- 20. Problem Solving : 1. 2. Nina worked for hours. Josh worked for hours. How many total hours did the two work?
- 21. Prepare for your quiz next meeting. So, study your lesson, class!