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Objective:

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  1. Objective: Students will be able to subtract mixed numbers involving renaming (6-6).

  2. Vocabulary: • None

  3. Steps: • Read all directions!!!!!!!! • Write the problem. • Find the LCD (LCD=LCM). • Find new numerators. • Rename. • Subtract. • Simplify.

  4. Whole # and a fraction: • Rename by borrowing one from the whole #. • Add your numerator and denominator in top fraction only (this is your numerator). • Keep same denominator. • Subtract. • Simplify.

  5. Whole # only on top: • Rename by borrowing one from the whole number. • Next, look at the denominator in the bottom fraction. This becomes both your numerator and denominator. Second fraction stays the same. • Subtract. • Simplify.

  6. Examples Find 4 – 1 2/3 4 - 1 2/3

  7. Examples Find 4 – 1 2/3 4 3 3/3Rename 4 as 3 3/3. - 1 2/3- 1 2/3

  8. Examples Find 4 – 1 2/3 4 3 3/3 Rename 4 as 3 3/3. - 1 2/3- 1 2/3 1/3Subtract the fractions

  9. Examples Find 4 – 1 2/3 4 3 3/3 Rename 4 as 3 3/3. - 1 2/3- 1 2/3 2 1/3 Subtract the fractions Then subtract the whole #s.

  10. Examples Find 17 ¼ - 3 5/8 17 ¼ - 3 5/8

  11. Examples Find 17 ¼ - 3 5/8 17 ¼ 17 2/8The LCM of 4 & 8 is 8 - 3 5/8- 3 5/8

  12. Examples Find 17 ¼ - 3 5/8 17 ¼ 17 2/8 The LCM of 4 & 8 is 8 - 3 5/8- 3 5/8 17 2/8 16 10/8 Since 5/8 is greater - 3 5/8- 3 5/8 than 2/8 you must rename 17 2/8 as 16 10/8

  13. Examples Find 17 ¼ - 3 5/8 17 ¼ 17 2/8 The LCM of 4 & 8 is 8 - 3 5/8- 3 5/8 17 2/8 16 10/8 Since 5/8 is greater - 3 5/8- 3 5/8 than 2/8 you must rename 17 2/8 as 16 10/8 16 10/8 Subtract the fractions - 3 5/8 then subtract the whole 13 5/8 #s.

  14. Examples A male California sea lion grows to be between 6 ½ and 8 feet long. Find the difference between the greatest and least lengths. 8 - 6 ½

  15. Examples A male California sea lion grows to be between 6 ½ and 8 feet long. Find the difference between the greatest and least lengths. 8 7 2/2 Rename 8 as 7 2/2 - 6 ½- 6 ½

  16. Examples A male California sea lion grows to be between 6 ½ and 8 feet long. Find the difference between the greatest and least lengths. 8 7 2/2 Rename 8 as 7 2/2 - 6 ½- 6 ½ 1 ½ Subtract the fractions then subtract the whole #s.