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

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Vocabulary: None

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

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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.

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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.

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

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

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

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

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

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

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

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

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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 - 6 ½

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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 8 7 2/2 Rename 8 as 7 2/2 - 6 ½ - 6 ½ - 6 ½ - 6 ½

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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 8 7 2/2 Rename 8 as 7 2/2 - 6 ½ - 6 ½ - 6 ½ - 6 ½ 1 ½ Subtract the fractions 1 ½ Subtract the fractions then subtract the whole then subtract the whole #s. #s.

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