1. © 2007 M. Tallman

2. 2 1 4 1 4 1 6 1 6 1 6 1 8 1 8 1 8 1 8 1 2 1 4 2 6 3 8 4 10 5 1 1 1 1 1 = == =

3. © 2007 M. Tallman 2 1 4 1 4 1 6 1 6 1 6 1 8 1 8 1 8 1 8 1 10 1 1 1 1 1 2 1 4 2 6 3 8 4 5

4. © 2007 M. Tallman 3 1 6 1 6 1 12 1 1 1 1 9 1 9 1 9 1 15 1 1 1 1 1 3 1 6 2 9 3 12 4 15 5 = == =

5. © 2007 M. Tallman 3 1 6 2 9 3 12 4 15 5 3 1 6 1 6 1 12 1 1 1 1 15 1 1 1 1 1 9 1 9 1 9 1

6. © 2007 M. Tallman 4 1 8 2 12 3 = = 4 1 1 1 1 8 1 8 1

7. © 2007 M. Tallman 4 1 8 2 12 3 1 1 1 4 1 8 1 8 1

8. © 2007 M. Tallman 2 = 2 1 2 1 2 2 4 × Multiply the numerator and denominator by the same number. When the numerator and the denominator are the same, the fraction equals 1 whole. Multiplying any number by 1 does not change the value. Example: 6 x 1 = 6 4 1 4 1

9. © 2007 M. Tallman 3 = 2 1 2 1 3 3 6 × Multiply the numerator and denominator by the same number. 6 1 6 1 6 1

10. 4 = 2 1 2 1 4 4 8 × Multiply the numerator and denominator by the same number. 8 1 8 1 8 1 8 1

11. 5 = 2 1 2 1 5 5 10 × Multiply the numerator and denominator by the same number. 1 1 1 1 1

12. © 2007 M. Tallman 6 = 2 1 2 1 6 6 12 × Multiply the numerator and denominator by the same number. 1 1 1 1 1 1

13. © 2007 M. Tallman 2 = 3 1 2 2 6 × Multiply the numerator and denominator by the same number. When the numerator and the denominator are the same, the fraction equals 1 whole. Multiplying any number by 1 does not change the value. Example: 6 x 1 = 6 3 1 6 1 6 1

14. © 2007 M. Tallman 3 = 3 1 3 3 9 × Multiply the numerator and denominator by the same number. 3 1 9 1 9 1 9 1

15. 4 = 3 1 4 4 12 × Multiply the numerator and denominator by the same number. 3 1 1 1 1 1

16. © 2007 M. Tallman 5 = 3 1 5 5 15 × Multiply the numerator and denominator by the same number. 3 1 1 1 1 1 1

17. © 2007 M. Tallman 6 = 4 3 2 2 8 × Multiply the numerator and denominator by the same number. 4 1 4 1 4 1 8 1 8 1 8 1 8 1 8 1 8 1

18. 5 1 5 1 5 1 15 1 1 1 9 = 5 3 3 3 × Multiply the numerator and denominator by the same number. 1 1 1 1 1 1