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Jimmy and his mother 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? 3 4 __ The difference in the heights can be represented by 2 – __ You will need to regroup 2 because the fraction in 1 is greater than. 1 4 __ Divide one whole of 2 into fourths.
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I CAN REGROUP TO SUBTRACT MIXED NUMBERS
5.4 Regrouping to Subtract Mixed Numbers
Review from YesterdayAdd or subtract.
1. 2.
3. 4.
5 8
6 5
911__
1120__ 2
9__
Jimmy and his mother 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 can be represented by 2 – 1 .
14__
14__3
4__
You will need to regroup 2 because the fraction in 1 is greater than .
14__Divide one whole of 2 into fourths.
2 14__ 1 5
4__
–1
14__
– 1______ ______
= 24__ 1
2__
34__
Regroup 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
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__
6 – 3
Additional Example 1A: Regrouping Mixed Numbers Subtract. Write each answer in simplest form.
Check It Out: Example 1ASubtract. Write each answer in simplest form.
16__ 5
6__
7 16__ 6 7
6__ Rename 7 as 6 + 1 = 6 + + .
–2 5
6__ –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__
7 – 2
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.
8 – 6
8 – 7 = 1 Estimate the difference.
1 is close to the estimate of 1. The answer is reasonable. 710__
Check It Out: Example 1BSubtract. Write each answer in simplest form.
Additional Example 2A: Measurement Application
Li is making a quilt. She needs 15 yards of fabric.
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__
Check It Out: Example 2A
Peggy is making curtains. She needs 13 yards of fabric.
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__
1. Subtract and identify the answer in simplest form.
A. C.
B. D.
Lesson Quiz for Student Response Systems
2. Subtract and identify the answer in simplest form.
A. C.
B. D.
Lesson Quiz for Student Response Systems
3. Subtract and identify the answer in simplest form.
A. C.
B. D.
Lesson Quiz for Student Response Systems
4. A Dachshund weighs pounds. A Dandi Dinmont Terrier weighs 18 pounds. What is the difference, in pounds, in their weights?
A. C.
B. D.
Lesson Quiz for Student Response Systems
