Adding and Subtracting Simple Fractions and Mixed Numbers.pptx

Adding and Subtracting Simple Fractions and Mixed Numbers

1. Adding and Subtracting Simple Fractions and Mixed Numbers

2. Banana Bread Recipe 2 eggs 1 ¾ cup sifted flour 2 tsp baking powder ¼ tsp baking powder 1 cup mashed bananas (about 3 bananas) ½ tsp salt ⅓ cup vegetable oil ⅔ cup sugar

3. Which are similar fractions? Which are dissimilar? Which are mixed numbers? 1 ¾ ¼ ½ ⅓ ⅔ 2  

4. Addition or Subtraction of Similar Fractions  

5. Addition or Subtraction of Dissimilar Fractions   1. Find LCD of 5 and 10 LCD = 10      

6. Addition or Subtraction of Dissimilar Fractions   1. Find LCD of 6 and 9 LCD = 18     *Always reduce your answer in it simplest form

7. Addition or Subtraction of Dissimilar Fractions         Make equivalent fractions. Subtract. Reduce your answer in simplest form if needed. LCD

8. Addition or Subtraction of Dissimilar Fractions         Make equivalent fractions. Subtract. Reduce your answer in simplest form if needed. LCD

9. Practice 1 Find the sum. Express the answer in lowest terms. ½ + ¼ = ⅓ + ⅝ = ¼ + ⅔ = ⅙ + ½ = 9 ½ + 2 ⅓ =

10. Practice 2 Find the difference. Express the answer in lowest terms. ⅜ - ⅛ = 14/15 - 4/15 = 6/10 - 4/10 = 8/12 - 6/12 = 13/20 - 3/20 =

11. Adding/Subtracting Mixed Fractions To add/subtract mixed fractions: 1. Add or subtract the whole number part. 2. If the fraction part share a common denominator, proceed on adding or subtracting. If not, find their LCD to make equivalent fractions. 3. If the answer is an improper form, reduce the fraction into a mixed number.

12. Adding/Subtracting Mixed Fractions    

13. Adding/Subtracting Mixed Fractions Example 9:       and     +   1. Change mixed fractions into improper fractions. 2. Make equivalent fractions by finding their LCD. 3. The answer is an improper fraction so, change it into a mixed number.

14. Adding/Subtracting Mixed Fractions Example 10:       and     -   1. Change mixed fractions into improper fractions. 2. Make equivalent fractions by finding their LCD. 3. The answer is in lowest term.

15. Adding/Subtracting Fractions and Mixed Fractions Example 11:       +    

16. Adding/Subtracting Fractions and Mixed Fractions Example 12:       +       +

17. Adding/Subtracting Fractions and Mixed Fractions Example 13:       -       -

18. Practice 3 Find the difference. Express the answer in lowest terms. 14 ⅓ - 12 ⅖ = 27 4/7 - 10 ¾ = 15 ⅜ - 10 4/7 = 5 - 8/5 = 14 - 12 4/9 =

19. Summary To add/subtract similar fractions, simply combine the numerators and copy the denominators. To add/subtract dissimilar fractions, make equivalent fractions by finding the LCD of the fractions and then proceed in adding or subtracting the fractions when they are already similar. To add/subtract mixed fractions, change them into improper fractions first then follow the rules for adding/subtracting dissimilar fractions. Always reduce your answer in its simplest form.