Let's solve each problem one by one and explain the reasoning step by step.
---
Problem I:
A teacher places 55 books onto shelves. Each shelf holds 9 books. How many shelves does the teacher fill?
Step-by-step solution:
We need to divide the total number of books by the number of books each shelf can hold:
$$
55 \div 9 = 6 \text{ R } 1
$$
- 9 × 6 = 54 → So, 6 full shelves are filled.
- There is 1 book left over, which would go on a 7th shelf, but it won't be completely filled.
The question asks:
"How many shelves does the teacher fill?"
This means how many shelves are
completely filled?
So, only
6 shelves are fully filled.
✔ Answer: 6 shelves
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Problem J:
A farmer packs 46 apples into trays for market. Each tray holds 6 apples. How many apples are in the partially filled tray?
Step-by-step solution:
Divide total apples by apples per tray:
$$
46 \div 6 = 7 \text{ R } 4
$$
- 6 × 7 = 42 → 7 full trays
- Remaining apples: 46 - 42 = 4
These 4 apples go into a partially filled tray.
✔ Answer: 4 apples
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Problem K:
62 fourth grade students are going on a field trip to the museum and will travel by car. If each car holds 4 students, how many cars will be needed?
Step-by-step solution:
We divide total students by capacity per car:
$$
62 \div 4 = 15 \text{ R } 2
$$
- 4 × 15 = 60 → 15 full cars
- 2 students left over → need 1 more car
Even though the last car is not full, you still need it.
So total cars needed = 15 + 1 =
16
✔ Answer: 16 cars
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Problem L:
Tom used 21 meters of fabric to make 6 large flags. How much fabric did he use for each flag?
Step-by-step solution:
Divide total fabric by number of flags:
$$
21 \div 6 = 3.5 \text{ meters}
$$
Or as a fraction: $ \frac{21}{6} = \frac{7}{2} = 3\frac{1}{2} $
✔ Answer: 3.5 meters (or 3½ meters) per flag
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✔ Final Answers:
-
I: 6 shelves
-
J: 4 apples
-
K: 16 cars
-
L: 3.5 meters (or 3½ meters)
Let me know if you'd like these explained in a simpler way or with visuals!
Parent Tip: Review the logic above to help your child master the concept of 4th grade division word problems with remainders worksheet.