Number and Operations – Fractions
5.NF.1, 5.NF.2
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Lesson 13
Subtract with Renaming
PracticeEstimate, then subtract. Write each difference in simplest form.
1. 2 1 _ 8
- 1 7 _ 8
2. 12 1 _ 4
- 5 2 _ 3
3. 8 1 _ 6 - 3 5 _
6 =
Homework Helper
Find 2 - 1 1 _ 4 .
Estimate 2 - 1 = 1
You cannot subtract 1 _ 4 from 0 fourths.
Rename 2 as 1 4 _ 4 to show more fourths.
Subtract the wholes.1 - 1 = 0Subtract the fractions. 4 _ 4 - 1 _
4 = 3 _
4
2 1 4 _ 4
- 1 1 _ 4 - 1 1 _
4
Rename 2 as 1 4 _ 4 .
3 _ 4
So, 2 - 1 1 _ 4 = 3 _
4 .
Check for Reasonableness 1 ≈ 3 _ 4
2 1=44
1–3. See students’ estimates.
4 1 _ 3
1 _ 4 6 7 _ 12
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Lesson 13 My Homework�693
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Come in Joey! The water is fine.
Joey! J ey!fine
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Problem Solving 4. 1 Make a Plan Sherman’s backpack
weighs 6 1 _ 4 pounds. Brie’s backpack weighs 5 3 _
4 pounds.
How much heavier is Sherman’s backpack than Brie’s backpack?
5. 2 Use Number Sense Veronica jogged
10 3 _ 16
miles in one week. The next week she jogged
8 7 _ 16
miles. How many more miles did she jog
the first week?
6. 6 Be Precise Careta swam 7 1_8
miles.
Joey swam 5 5_8
miles. How many more miles did
Careta swim than Joey?
Test Practice 7. Ross has 6 yards of material. He bought 2 1_
3 more yards.
Then he used 6 5_6
yards. How many yards of material
does he have left?
A 1 1_2
yards C 3 2_3
yards
B 3 1_6
yards D 8 1_3
yards
1 _ 2 pound
1 1 _ 2 miles
1 3 _ 4 miles
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694�Need more practice? Download Extra Practice at connectED.mcgraw-hill.com
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