add-fractions-with-unlike-denominators-1229372164425722-1 (3).pptx

Grade 6

1. Add Fractions with Unlike Denominators Mrs. Young EMC 1

2. Quick Review Denominator – the number at the bottom of the fraction. This number names the total number of parts that equals a whole Unlike denominators This means that the denominators are the different Example: Look at the fractions below 3 4 1 6 The fractions have different denominators– called unlike denominators and

3. Add Fractions with Unlike Denominators Step 1: You must find equivalent fractions with a common denominator. 3 4 1 6 +

4. Step 1 continued 3 4 1 6 + 9 12 2 12 + x 3 x 3 x 2 x 2 =

5. Step 2: Add the numerators. This sum becomes the numerator in your answer. 9 12 2 12 + = 11

6. Step 3: Keep the same denominator that is in the problem. 9 12 2 12 + = 11 12

7. Step 4: Simplify (reduce to the lowest terms) your answer 9 12 2 12 + = 11 12 Remember that in order to find the simplest form, you must find the greatest common factor of the numerator and the denominator. GCF = 1 = ÷ ÷ 1 1 11 12

8. Step 1: Step 1: You must find equivalent fractions with a common denominator. 3 7 2 3 +

9. Step 1 continued 3 7 2 3 + 9 21 14 21 + x 3 x 3 x 7 x 7 =

10. Step 2: Add the numerators. This sum becomes the numerator in your answer. 9 21 14 21 + = 25

11. Step 3: Keep the same denominator that is in the problem. 9 21 14 21 + = 25 21

12. Step 4: Simplify (reduce to the lowest terms) your answer In this case, you will need to convert the improper fraction into a mixed number and then simply the fraction 25 21 = 25 ÷ 21 = 1 4 21

13. Step 1: Step 1: You must find equivalent fractions with a common denominator. 4 9 5 2 +

14. Step 1 continued 4 9 5 2 + 8 18 45 18 + x 2 x 2 x 9 x 9

15. Step 2: Add the numerators. This sum becomes the numerator in your answer. 8 18 45 18 + = 53

16. Step 3: Keep the same denominator that is in the problem. 8 18 45 18 + = 53 18

17. Step 4: Simplify (reduce to the lowest terms) your answer In this case, you will need to convert the improper fraction into a mixed number and then simply the fraction 53 18 = 53 ÷ 18 = 2 17 18

18. Your turn! 9 11 3 5 +

19. Try another! 8 14 6 + 7