2. Operations with Rational Numbers

3. Any number that can be written in the form, where m and n are integers and n 0, is called a rational number In other words, fractions….

5. Fractions are used when we need to identify part of a whole.

6. To combine Rational Numbers, you must have a … COMMON DENOMINATOR

7. The LCD is the smallest number that all the denominators divide into evenly. 2 and 3 Think of the LCD for the following pairs of numbers LCD = 6 3 and 4LCD = 12 2 and 7LCD = 14 3 and 6LCD = 6

8. For example: 1 + 1 = 3 4 12 12 X 4 4 + 3 X 3 = 7 12

9. For example: 2 + 1 = 3 5 15 15 X 5 10 + 3 X 3 = 13 15

10. For example: 1 - 2 = 2 5 10 10 X 5 5 - 4 X 2 = 1 10

11. For example: 3 + 2 = 4 5 20 20 X 5 15 + 8 X 4 = 23 20

12. Multiplying and Dividing Rational Numbers

13. To multiply Rational Numbers, multiply corresponding numerators and denominators For example: 3 4 5 7 = 12 35

14. 1 4 3 5 = 4 15 1 2 3 3 = 2 9

15. For division: Flip the second RN and Multiply 15 52 7 3 =? 5 3 7 2 = 14

16. 52 4 7 = 5 7 4 2 = 35 8

17. See Sheets