Math worksheet for dividing fractions by whole numbers using visual models.

Let’s solve each problem step by step.

We are dividing a unit fraction (like 1/3, 1/9, etc.) by a whole number.
The rule is:
Dividing by a whole number is the same as multiplying by its reciprocal.
So,
> a/b ÷ c = a/b × 1/c = a/(b×c)

Also, looking at the models:
Each model shows a rectangle representing the unit fraction (e.g., 1/3), and then it’s divided into equal parts — that many parts as the divisor (e.g., 6). Each small part will be the answer.

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Problem 1: 1/3 ÷ 6

Step 1: Multiply denominator by 6 → 3 × 6 = 18
So, 1/3 ÷ 6 = 1/18

Check with model: The big rectangle is 1/3. It’s split into 6 equal pieces. So each piece is 1/18 of the whole.

✔ Answer: 1/18

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Problem 2: 1/9 ÷ 9

Step 1: Multiply denominator by 9 → 9 × 9 = 81
So, 1/9 ÷ 9 = 1/81

Model check: Big rectangle is 1/9, split into 9 equal parts → each is 1/81.

✔ Answer: 1/81

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Problem 3: 1/7 ÷ 3

Step 1: Multiply denominator by 3 → 7 × 3 = 21
So, 1/7 ÷ 3 = 1/21

Model check: Big rectangle is 1/7, split into 3 equal parts → each is 1/21.

✔ Answer: 1/21

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Problem 4: 1/5 ÷ 10

Step 1: Multiply denominator by 10 → 5 × 10 = 50
So, 1/5 ÷ 10 = 1/50

Model check: Big rectangle is 1/5, split into 10 equal parts → each is 1/50.

✔ Answer: 1/50

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Problem 5: 1/4 ÷ 8

Step 1: Multiply denominator by 8 → 4 × 8 = 32
So, 1/4 ÷ 8 = 1/32

Model check: Big rectangle is 1/4, split into 8 equal parts → each is 1/32.

✔ Answer: 1/32

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Final Answer:
1. 1/18
2. 1/81
3. 1/21
4. 1/50
5. 1/32