3. Time to conquer our fraction phobias!

4. A mixed number has a whole number part and a fraction part. Such as 3 2 5 We connect the whole-number name to the fraction name with the word “and.” This mixed number is read three AND two fifths. 3 - Whole number part 2/5 - Fraction part

5. Follow these steps 1. Find a common denominator. 2. Add or subtract the whole number part. 3. Add or subtract the numerators. 4.Keep the common denominators. 5. Simplify.

6. 1. Common denominator. 2. Add whole number. 3. Add numerators. 4. Keep the common denominators. 5. Simplify. 3 + 2 _____________________ Let’s try an example.   5 4 4    Since 4 divided by 4 = 1…

7. 2 + 3 Try a harder problem. Remember Remember to check to see if the smaller denominator will divide evenly into the larger denominator. 4 will divide evenly into 8; therefore, 8 is the least common denominator (LCD).

8. 2 2 X = x = 4 x 2 = 8 2 eighths 1 x 2 = 2 The renamed fraction is 2 eighths. fraction part 2 divided by 2. Multiply the fraction part by another name for 1. The special, select name for 1 is 2 divided by 2. 1. Common denominator  2 + 3

9. 2 + 3 2 2 X = x = 5 2. Add whole number.  3. Add numerators.  4. Keep denominator.  5. Simplify.

11. Tim and Ken are runners. On Wednesday Tim ran 4 miles and Ken ran 3 miles. How much further did Tim run?

12. 4 - 3 _________________________ Remember Remember, when the smaller denominator will not divide evenly into the larger denominator, you must find the least common multiple for the denominator.

13. 24 Multiples of 8: 0, 8, 16, 24, 32, … 24 Multiples of 3: 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, … 4 - 3 _________________________

14. 4 - 3 3 3 = = 21 24 16 24 8 8 7 x 3 = 21 8 x 3 = 24 2 x 8 = 16 3 x 8 = 24 Don’t give up. We are almost there. See you on the next slide. x x common denominator 1. Multiply the fraction part by a name for one to get a common denominator. 

15. 4 - 3 3 3 = = 21 24 16 24 8 8 x x  2. Subtract whole number. 1 3. Subtract the numerators. 5 4. Keep the denominators. 5. Simplify (if necessary).   24 Yea!

17. Jeffrey is baking brownies. So far he has put in 2 cups of flour and 1 cups of sugar. What is the total amount of ingredients that he already has in his bowl?

18. 2 + 1 12 Multiples of 3: 0, 3, 6, 9, 12, 15, … 12 Multiples of 4: 0, 4, 8, 12, 16, … It gets easier if you practice.

19. 2 + 1 3 3 1 x 3 = 3 4 x 3 = 12 = 3 12 4 4 = 2 x 4 = 8 3 x 4 = 12 8 12 “I think I can. I think I can. I think I can.” x x common denominator. 1. Multiply the fraction part by a name for one to get a common denominator.

20. 2 + 1 3 3 = 3 12 4 4 = 8 x x 2. Add whole number. 3 3. Add numerators. 11 4. Keep denominator. 12 5. Simplify.

22. Now for a tricky problem. 4 -1 Is smaller than ? If so, borrowing may be necessary but perhaps there is an easier way.

23. 4 - 1 Is smaller than ? One way to compare fractions is to visualize them. <

24. is smaller than is smaller than 4 Don’t worry. Make improper fractions of the mixed numbers.

25. 4 3 x 4 + 1 = 13 3 = 6 x 1 + 5 11 6 Now follow the steps and shoo your phobias away. Make improper fractions.

26. 4 = 13 3 = 11 6 1. Find common denominator. x x 2 2 = = 26 6 11 6 2. There is no whole number.

27. 4 = 13 3 = 11 6 x x 2 2 = = 26 6 11 6 3. Subtract the numerators. 15 4. Keep the denominators. 6

28. 4 = 13 3 = 11 6 x x 2 2 = = 26 6 11 6 Simplify. 15 6 6. ÷ 3 3 = 5 2 =

29. Now it’s time to show what you know.