Objective:Objective:Students will be able to subtract Students will be able to subtract

mixed numbers involving mixed numbers involving renaming (6-6).renaming (6-6).

Vocabulary:Vocabulary:

NoneNone

Steps:Steps:

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

Whole # and a fraction:Whole # and a fraction:

Rename by borrowing one from the whole Rename by borrowing one from the whole #.#.

Add your numerator and denominator in Add your numerator and denominator in top fraction only (this is your numerator).top fraction only (this is your numerator).

Keep same denominator.Keep same denominator. Subtract.Subtract. Simplify.Simplify.

Whole # only on top:Whole # only on top:

Rename by borrowing one from the whole Rename by borrowing one from the whole number.number.

Next, look at the denominator in the Next, look at the denominator in the bottom fraction. This becomes both your bottom fraction. This becomes both your numerator and denominator. Second numerator and denominator. Second fraction stays the same.fraction stays the same.

Subtract.Subtract. Simplify.Simplify.

ExamplesExamples

Find 4 – 1 2/3 Find 4 – 1 2/3

44

- 1 2/3- 1 2/3

ExamplesExamples

Find 4 – 1 2/3 Find 4 – 1 2/3

4 4 3 3/33 3/3 Rename 4 as 3 3/3.Rename 4 as 3 3/3.

- 1 2/3- 1 2/3 - 1 2/3- 1 2/3

ExamplesExamples

Find 4 – 1 2/3 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

1/31/3 Subtract the fractionsSubtract the fractions

ExamplesExamples

Find 4 – 1 2/3 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

22 1/3 Subtract the fractions 1/3 Subtract the fractions

Then subtract the Then subtract the

whole #s.whole #s.

ExamplesExamples

Find 17 ¼ - 3 5/8 Find 17 ¼ - 3 5/8

17 ¼ 17 ¼

- 3 5/8- 3 5/8

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

17 ¼ 17 ¼ 17 2/817 2/8 The LCM of 4 & 8 is 8The LCM of 4 & 8 is 8

- 3 5/8- 3 5/8 - 3 5/8- 3 5/8

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

17 ¼ 17 2/8 The LCM of 4 & 8 is 817 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 17 2/8 16 10/8 Since 5/8 is greaterSince 5/8 is greater - 3 5/8- 3 5/8 - 3 5/8- 3 5/8 than 2/8 you must than 2/8 you must rename 17 2/8 as 16 rename 17 2/8 as 16 10/810/8

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

17 ¼ 17 2/8 The LCM of 4 & 8 is 817 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 greater17 2/8 16 10/8 Since 5/8 is greater - 3 5/8- 3 5/8 - 3 5/8- 3 5/8 than 2/8 you must than 2/8 you must rename 17 2/8 as 16 rename 17 2/8 as 16 10/810/8

16 10/816 10/8 Subtract the fractions Subtract the fractions - 3 5/8- 3 5/8 then subtract the whole then subtract the whole 13 5/813 5/8 #s. #s.

ExamplesExamples

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

88

- 6 ½- 6 ½

ExamplesExamples

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

8 8 7 2/2 7 2/2 Rename 8 as 7 2/2Rename 8 as 7 2/2

- 6 ½- 6 ½ - 6 ½ - 6 ½

ExamplesExamples

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

8 7 2/2 Rename 8 as 7 2/28 7 2/2 Rename 8 as 7 2/2

- 6 ½- 6 ½ - 6 ½ - 6 ½

1 ½ 1 ½ Subtract the fractions Subtract the fractions

then subtract the whole then subtract the whole

#s.#s.