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5-9 Renaming to Subtract Mixed Numbers
Course 1
Warm UpWarm Up
Lesson PresentationLesson PresentationProblem of the DayProblem of the Day
Course 1
5-9 Renaming to Subtract Mixed Numbers
Warm UpAdd or Subtract.
1. 3 + 1 2. 7 +
3. 8 – 2 4. 6 – 1
25__ 3
5__ 9
11__ 11
11__
45__ 1
4__ 1
3__ 1
9__
5 8
6 5
911__
1120__ 2
9__
Problem of the DayComplete the magic square so that every row, column, and diagonal, has the same sum.
Course 1
5-9 Renaming to Subtract Mixed Numbers
1 2
1 1
1 1
2
78__
58__
58__ 1
2__
12__1 7
8__
34__1 1
8__1
14__
38__
38__ 1
8__ 3
4__
14__
2
Learning Goal Assignment
Learn to rename mixed numbers to subtract.
Course 1
5-9 Renaming to Subtract Mixed Numbers
Course 1
5-9 Renaming to Subtract Mixed Numbers
Jimmy and his family planted a tree when it was 1 ft tall. Now the tree is 2 ft tall. How much has the tree grown since it was planted?
34__
14__
14__ 3
4__The difference in the heights is 2 – 1 .
14__
34__1
4__
You will need to rename 2 because the fraction in 1 is greater than .
14__Divide one whole of 2 into fourths.
Course 1
5-9 Renaming to Subtract Mixed Numbers
2 14__ 1 5
4__
–1
14__
– 1______ ______
= 24__ 1
2__
34__
Rename 2 as 1 .34__
54__
The tree has grown ft since it was planted.12__
141 1
414
14
14
114
14
14
14
1
1
1414
Course 1
5-9 Renaming to Subtract Mixed Numbers
Additional Example 1A: Renaming Mixed NumbersSubtract. Write each answer in simplest form.
16__ 5
6__
7 16__ 6 7
6__ Rename 7 as 6 + 1 = 6 + + .
–2 56__ –2 5
6__
______ ______
4 26__
Subtract the fractions and then the whole numbers.
16__ 1
6__ 6
6__ 1
6__
Write the answer in simplest form.
= 4 13__
A. 7 – 2
Course 1
5-9 Renaming to Subtract Mixed Numbers
Try This: Example 1ASubtract. Write each answer in simplest form.
18__ 5
8__
5 18__ 4 9
8__ Rename 5 as 4 + 1 = 4 + + .
–2 58__ –2 5
8__
______ ______
2 48__
Subtract the fractions and then the whole numbers.
18__ 1
8__ 4
4__ 1
8__
Write the answer in simplest form.
= 2 12__
A. 5 – 2
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5-9 Renaming to Subtract Mixed Numbers
Additional Example 1B: Renaming Mixed NumbersSubtract. Write each answer in simplest form.
25__ 7
10__
8 410__ 7 14
10__
Rename 8 as 7 + 1 = 7 + + . –6 710__ –6 7
10__
______ ______
1 710__ Subtract the fractions and then the
whole numbers.
410__ 4
10__ 10
10__ 4
10__
10 is a multiple of 5, so 10 is a common denominator.
B. 8 – 6
Course 1
5-9 Renaming to Subtract Mixed Numbers
Try This: Example 1BSubtract. Write each answer in simplest form.
16__ 7
12__
7 212__ 6 14
12__
Rename 7 as 6 + 1 = 6 + + .
–3 712__ –3 7
12__
______ ______
3 712__ Subtract the fractions and then the
whole numbers.
212__ 2
12__ 12
12__ 2
12__
12 is a multiple of 6, so 12 is a common denominator.
B. 7 – 3
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5-9 Renaming to Subtract Mixed Numbers
Additional Example 1C: Renaming Mixed NumbersSubtract. Write each answer in simplest form.
23__
6 5 33__
–3 23__ –3 2
3__
______ ______
2
Subtract the fractions and then the whole numbers.
Write 6 as a mixed number with a denominator of 3. Rename 6 as 5 + .3
3__
13__
C. 6 – 3
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5-9 Renaming to Subtract Mixed Numbers
Try This: Example 1CSubtract. Write each answer in simplest form.
34__
5 4 44__ Write 5 as a mixed number with a
denominator of 4. Rename 5 as 4 + .
–2 34__ –2 3
4__
______ ______
2
Subtract the fractions and then the whole numbers.
44__
14__
C. 5 – 2
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5-9 Renaming to Subtract Mixed Numbers
Additional Example 1D: Renaming Mixed NumbersSubtract. Write each answer in simplest form.
13__ 3
4__
5 412__ 4 16
12__
–2 912__ –2 9
12__
______ ______
2 712__ Subtract the fractions and then the
whole numbers.
Rename 5 as 4 + 1 = 4 + + .412 __ 4
12__ 12
12__ 4
12__
The LCM of 4 and 3 is 12.
D. 5 – 2
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5-9 Renaming to Subtract Mixed Numbers
Try This: Example 1DSubtract. Write each answer in simplest form.
12__ 2
3__
8 36__ 7 9
6__
Rename 8 as 7 + 1 = 7 + + .
–4 46__ –4 4
6__
______ ______
3 56__ Subtract the fractions and then the
whole numbers.
36__ 3
6__ 6
6__ 3
6__
The LCM of 2 and 3 is 6.
D. 8 – 4
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5-9 Renaming to Subtract Mixed Numbers
Additional Example 2A: Measurement ApplicationLi is making a quilt. She needs 15 yards of fabric.
A. Li has 2 yards of fabric. How many more yards does she need?
34__
15 14 44__ Write 15 as a mixed number with a
denominator of 4. Rename 15 as 14 + .
–2 34__ –2 3
4__
______ ______
12
Subtract the fractions and then the whole numbers.
44__
14__
Li needs another 12 yards of fabric.14__
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5-9 Renaming to Subtract Mixed Numbers
Try This: Example 2APeggy is making curtains. She needs 13 feet of fabric.
A. Peggy has 4 yards of fabric. How many more yards does she need?
56__
13 12 66__ Write 13 as a mixed number with a
denominator of 6. Rename 13 as 12 + .
–4 56__ –4 5
6__
______ ______
8
Subtract the fractions and then the whole numbers.
66__
16__
Peggy needs another 8 yards of fabric.16__
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5-9 Renaming to Subtract Mixed Numbers
Additional Example 2B: Measurement Application
B. If Li uses 11 yards of fabric, how much of the 15 yards will she have left?
16__
15 14 66__ Write 15 as a mixed number with a
denominator of 6. Rename 15 as 14 + .
–11 16__ –11 1
6__
______ ______
3
Subtract the fractions and then the whole numbers.
66__
56__
Li will have 3 yards of fabric.56__
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5-9 Renaming to Subtract Mixed Numbers
Try This: Example 2B
B. If Peggy uses 9 yards of fabric, how much of the 13 yards will she have left?
14__
13 12 44__ Write 13 as a mixed number with a
denominator of 4. Rename 13 as 12 + .
–9 14__ –9 1
4__
______ ______
3
Subtract the fractions and then the whole numbers.
44__
34__
Peggy will have 3 yards of fabric left.34__
Lesson Quiz
Insert Lesson Title Here
Course 1
5-9 Renaming to Subtract Mixed Numbers
Subtract. Write each answer in simplest form.
1. 7 – 3 2. 8 – 3
3. 7 – 5 4. 10 – 4
5. Irena put 10 cups of food in the bird feeder. The birds ate 3 cups. How many cups are left?
47__ 6
7__ 7
10__ 4
5__
29__ 3
8__ 9
16__
38__
3 57__ 4 9
10__
1 79__ 513
16__
6 cups58__