1. copyright©amberpasillas2010

2. Parts of a Fraction 3 4 = the number of parts = the total number of parts that equal a whole copyright©amberpasillas2010

3. Parts of a Fraction 3 4 = numerator = denominator copyright©amberpasillas2010

4. A Common Multiple is a number that is a multiple of two or more numbers. Some multiples of 3 & 6 6, 12, 18, 24, 30, 36, 42 copyright©amberpasillas2010

5. The LCM is the smallest multiple that two numbers have in common. 6 = 6, 12, 18, 24, 30, 36 5 = 5, 10, 15, 20, 25, 30 copyright©amberpasillas2010

6. List the multiples of each denominator to find the LCM. 1 = 5, 10, 15, 20, 25, 30 1 = 10, 20, 30, 40, 50 + 5 10 To Add or Subtract Fractions With Unlike Denominators copyright©amberpasillas2010

7. 1 = 5, 10, 15, 20, 25, 30 1 = 10, 20, 30, 40, 50 + 5 10 To Add or Subtract Fractions With Unlike Denominators Compare your lists. Which multiples do 5 and 10 have in common? copyright©amberpasillas2010

8. 1 = 5, 10, 15, 20, 25, 30 1 = 10, 20, 30, 40, 50 + 5 10 To Add or Subtract Fractions With Unlike Denominators This number is also called the least common denominator. copyright©amberpasillas2010

9. 1 1 + 5 10 SHORTCUT : Check to see if the smaller denominator divides evenly into the larger denominator. If it does, use the larger denominator for your LCD or LCM. 5 will divide evenly into 10, so 10 is your denominator. copyright©amberpasillas2010

10. Rewrite the fractions using the least common denominator or least common multiple. 1 5 1 10 + copyright©amberpasillas2010

11. Find the equivalent fractions for 1/5 & 1/10 with 10 as the denominator. 1 5 1 10 + You know that 1/10 is equal to 1/10 so Put a 1 over the Denominator of 10. 1 copyright©amberpasillas2010

12. Find the equivalent fractions for 1/5 & 1/10 with 10 as the denominator. 1 5 1 10 + 1 To find the top number, ask yourself what do you multiply the 5 by to get 10. copyright©amberpasillas2010

13. 1 5 1 10 + 1 x 2 x 2 = 2 Now just add the numerators. Remember when adding fractions you never add the denominators. 10 3 copyright©amberpasillas2010

14. Identity Property states that any number multiplied by one equals itself This is useful to know so you can find a common denominator for adding and subtracting fractions.

15. copyright©amberpasillas2010 1 2 8 + Find a Least Common Denominator (LCD). 8 8

16. copyright©amberpasillas2010 1 2 8 + Now fill in your Giant Ones. 8 8 x 1 = x 4 = 4 x 1 = -1

17. copyright©amberpasillas2010 1 2 8 + Add numerators. The denominator stays the same. 8 8 x 1 = x 4 = 4 x 1 = 3 8

18. copyright©amberpasillas2010 -2 5 1 3 + What is a good denominator? 15

19. copyright©amberpasillas2010 -2 5 1 3 + Ask yourself what do you multiply the denominator by to get 15. 15 x 5 = x 3 =

20. copyright©amberpasillas2010 -2 5 1 3 + Fill in your Giant Ones. 15 x 5 = x 3 = -6 x 5 = 5

21. copyright©amberpasillas2010 -2 5 1 3 + 15 x 5 = x 3 = -6 x 5 = 5 Add the numerators. The denominator stays the same. 15

22. copyright©amberpasillas2010 6 1 4 + 12 x 3 = x 2 = x 3 = x 2 = 3 -2 1 12

23. copyright©amberpasillas2010 5 6 1 8 - 24 x 3 = x 4 = x 3 = x 4 = 3 20 17 24

24. copyright©amberpasillas2010 -2 3 1 9 - 9 9 x 1 = x 3 = x 1 = x 3 = 1 -6 -7 9 -6 – 1 = -6 + -1 =

25. copyright©amberpasillas2010 -2 4 2 8 + 8 8 x 1 = x 2 = x 1 = x 2 = 2 -4 -2 8 -4 + 2 = 4 = -2

26. copyright©amberpasillas2010 -4 5 -2 3 - 15 x 5 = x 3 = x 5 = x 3 = -10 -12 -2 15 -12 – -10 = -12 + +10 =

27. REMEMBER: To Always Show Your Work and The Giant One! Take out your study guide!!! copyright©amberpasillas2010

28. Add Fractions 4 5 -2 3 + 15 15 x 5 = x 3 = x 5 = x 3 = -10 12 2 15 1)Find a common denominator. 2) Add the numerators. 3) Keep the common denominator the same. #23 4) Simplify or reduce. Change improper fractions to mixed #s.

29. Add & Subtract Negative Fractions Add & Subtract Negative Fractions -2 6 3 4 + 12 x 3 = x 2 = x 3 = x 2 = 9 -4 5 12 #24 -4 5 1 10 x 1 = x 2 = x 1 = x 2 = 1 -8 -9 10 -8 – 1 = -8 + -1 = - -9

30. copyright©amberpasillas2010Extras

31. 4 5 2 3+ 15 x 5 = x 3 = x 5 = x 3 = 10 12 22 15 copyright©amberpasillas2010

32. 22 15 15 ) 22 1 15 7 7 Simplify Your Answer ALWAYS SIMPLIFY YOUR ANSWER IF YOUR ANSWER IS AN IMPROPER FRACTION! copyright©amberpasillas2010

33. -2 3 1 9 - 9 9 x 1 = x 3 = x 1 = x 3 = 1 -6 -7 9 -6 – 1 = -6 + -1 = -6 + -1 = -7 copyright©amberpasillas2010