5.nf.3 Worksheets | Free - CommonCoreSheets - Free Printable

Let’s solve each problem step by step.

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1) A fast food restaurant had 13 pounds of flour. If they split the flour evenly among 3 batches of chicken, how much flour would each batch use?

We divide:
13 ÷ 3 = 4 remainder 1 → that’s 4 ¹⁄₃ pounds per batch.
Between what two whole numbers?
4 < 4 ¹⁄₃ < 5 → between 4 and 5.

✔ Answer: 4 ¹⁄₃, between 4 and 5

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2) A teacher had 74 packages of paper to split equally into 7 piles.

74 ÷ 7 = 10 remainder 4 → 10 ⁴⁄₇
Between what two whole numbers?
10 < 10 ⁴⁄₇ < 11 → between 10 and 11

✔ Answer: 10 ⁴⁄₇, between 10 and 11

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3) A pet store had 3 cats. They wanted to split 19 ounces of cat food among them.

19 ÷ 3 = 6 remainder 1 → 6 ¹⁄₃ ounces per cat
Between what two whole numbers?
6 < 6 ¹⁄₃ < 7 → between 6 and 7

✔ Answer: 6 ¹⁄₃, between 6 and 7

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4) A toy store had 4 boxes, each weighed a total of 34 kilograms. So total weight = 4 × 34 = 136 kg.
They want to split this total evenly among 4 boxes (same number of boxes), so each box still gets:
136 ÷ 4 = 34 kg — wait! That seems odd.

Wait — reread:
> "If each box had the same amount of weight, how much did each box weigh? Between what two whole numbers does your answer lie?"

But it says: *“Each box had the same amount of weight”* — maybe it's asking: if the total weight is 4 × 34 = 136 kg, and they want to redistribute evenly among 4 boxes, then each box still weighs 34 kg. But that’s already a whole number.

Hmm — maybe misread. Let me read again carefully:

> "A toy store had 4 boxes that weighed a total of 34 kilograms. If each box had the same amount of weight, how much did each box weigh?"

Ah! Important: It says 4 boxes that weighed a total of 34 kilograms — not *each* box weighed 34. So total = 34 kg, 4 boxes → 34 ÷ 4 = 8.5 kg = 8 ¹⁄₂
Between what two whole numbers?
8 < 8.5 < 9 → between 8 and 9

✔ Answer: 8 ¹⁄₂, between 8 and 9

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5) Doctor gives patient liquid medicine: 14 cups over next 4 days.

14 ÷ 4 = 3.5 = 3 ¹⁄₂ cups per day
Between what two whole numbers?
3 < 3.5 < 4 → between 3 and 4

✔ Answer: 3 ¹⁄₂, between 3 and 4

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6) Blanket shop has 27 feet of fabric. Want to use it for 5 blankets, each same length.

27 ÷ 5 = 5 remainder 2 → 5 ²⁄₅ feet per blanket
Between what two whole numbers?
5 < 5 ²⁄₅ < 6 → between 5 and 6

✔ Answer: 5 ²⁄₅, between 5 and 6

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7) Sam collected 66 leaves, wants to split equally among 7 cages.

66 ÷ 7 = 9 remainder 3 → 9 ³⁄₇ leaves per cage
Between what two whole numbers?
9 < 9 ³⁄₇ < 10 → between 9 and 10

✔ Answer: 9 ³⁄₇, between 9 and 10

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8) Downtown, 8 artists painting a mural 86 feet long. Split evenly.

86 ÷ 8 = 10 remainder 6 → 10 ⁶⁄₈ = simplify: 6/8 = 3/4 → 10 ³⁄₄ feet per artist
Between what two whole numbers?
10 < 10 ³⁄₄ < 11 → between 10 and 11

✔ Answer: 10 ³⁄₄, between 10 and 11

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9) Farmer has 23 acres, split among 8 children. Each child gets same amount.

23 ÷ 8 = 2 remainder 7 → 2 ⁷⁄₈ acres per child
Between what two whole numbers?
2 < 2 ⁷⁄₈ < 3 → between 2 and 3

✔ Answer: 2 ⁷⁄₈, between 2 and 3

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10) Sub sandwich maker has 28 meters long sandwich. Cut into 3 pieces, each same length.

28 ÷ 3 = 9 remainder 1 → 9 ¹⁄₃ meters per piece
Between what two whole numbers?
9 < 9 ¹⁄₃ < 10 → between 9 and 10

✔ Answer: 9 ¹⁄₃, between 9 and 10

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Now let’s list all answers clearly:

1. 4 ¹⁄₃, between 4 and 5
2. 10 ⁴⁄₇, between 10 and 11
3. 6 ¹⁄₃, between 6 and 7
4. 8 ¹⁄₂, between 8 and 9
5. 3 ¹⁄₂, between 3 and 4
6. 5 ²⁄₅, between 5 and 6
7. 9 ³⁄₇, between 9 and 10
8. 10 ³⁄₄, between 10 and 11
9. 2 ⁷⁄₈, between 2 and 3
10. 9 ¹⁄₃, between 9 and 10

Final Answer:
1. $4\frac{1}{3}$, between 4 and 5
2. $10\frac{4}{7}$, between 10 and 11
3. $6\frac{1}{3}$, between 6 and 7
4. $8\frac{1}{2}$, between 8 and 9
5. $3\frac{1}{2}$, between 3 and 4
6. $5\frac{2}{5}$, between 5 and 6
7. $9\frac{3}{7}$, between 9 and 10
8. $10\frac{3}{4}$, between 10 and 11
9. $2\frac{7}{8}$, between 2 and 3
10. $9\frac{1}{3}$, between 9 and 10