Add & Subtract Fractions

Addition
Subtraction
Fractions
Ordering Fractions
Equivalent Fractions

1. Understanding Fractions Add & Subtract Andrea Bonde & Ms. Taylor www.slideshare.net

2. Fraction A fraction is the quotient of two rational numbers. Numerator Denominator

3. Classification of Fractions Proper Fraction Improper Fraction Mixed Number 5  

4. Classification of Fractions A proper fraction is a fraction with the numerator less (smaller) than the denominator. An improper fraction is a fraction with the numerator great (larger) than or equal (the same) to the denominator. A mixed number has a fraction and a whole number. 3 4 1 2 7 5 10 9 1 4 3

5. Classification of Fractions

6. Tell me PROPER, IMPROPER, or MIXED

7. Equivalent Fractions A equivalent fraction is a fraction that equals the same thing. These are equivalent fractions. 6 1 18 3 ,

8. Tell me some equivalent fractions for:

9. Tell me if the fraction is equivalent to 1/2 , 1/3, ¼, or 1/5:

10. Order Fractions To order fractions with like denominators : First look at the numerator s. Place the fractions with the lowest numerator first. Place the second lowest numerator next. Keep doing this until there are no more fractions.

11. Ordering Fractions: Example Order the following fractions: 2 1 3 4 4 4 The answer: 1 2 3 4 4 4 , , , ,

12. Let’s practice ordering fractions! Order from GREATEST to LEAST

13. Order Fractions To order fractions with like unlike denominators: Find a common denominator. Then follow the steps as before. L ook at the numerator s. Place the fractions with the lowest numerator first. Place the second lowest numerator next. Keep doing this until there are no more fractions.

14. Let’s practice ordering fractions with unlike denominators! Order from LEAST to GREATEST

15. Adding Fractions With same Denominator: To add fractions together the denominator must be the same. Example:   =   =  

16. Adding Fraction Examples: A.   =   =   B.   =   =   C.   =   =   D.   =   =  

17. Subtracting Fractions With Same Denominator: To subtract fractions together the denominator must be the same. Example:   =   =  

18. Adding Fraction Examples: A.   =   =   B.   =   =   C.   =   =   D.   =   =  

19. + & - Fractions Rules for Unlike D enominators NEW BOTTOM NUMBER Count by the bottom numbers. Circle the match. New Top Number 3. Count over to the match. 4. Multiply by old top number. 5. Add/Subtract - Play with the top, leave the bottom alone. - Remember to borrow if you need to.   +   6. Divide if top number is bigger. 7. Reduce if you need to.     ÷ 2 ÷ 2 = 4 6 x 3  

20. ADD with Unlike D enominators Practice   +     8 16 x 5   20 12 10 15 20 +   x 4

21. ADD with Unlike D enominators Practice   +     6 12 x 5   15 9 10 15 +   x 3

22. SUBTRACT with Unlike D enominators Practice   -     8 16 x 5   20 12 10 15 20 -   x 4

23. SUBTRACT with Unlike D enominators Practice   -     6 12 x 5   15 9 10 15 -   x 3