Printable worksheet for practicing dividing fractions through real-world word problems.

You’ve uploaded an image of a worksheet titled “Dividing Fractions Word Problems”. The task is to solve the word problems using division of fractions, showing your work clearly, and writing answers in simplest form — or as mixed numbers where appropriate.

Let’s solve each problem step by step.

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Problem 1:

> Natalie is baking cupcakes. Each cupcake needs ⅓ cup of sugar. How many cupcakes can she make if she has 2½ cups of sugar?

#### Step-by-step solution:

We need to find how many ⅓-cup portions are in 2½ cups.

This is a division problem:
> Total sugar ÷ Sugar per cupcake = Number of cupcakes

So:
> 2½ ÷ ⅓

First, convert 2½ to an improper fraction:
> 2½ = 5/2

Now divide:
> 5/2 ÷ 1/3 = 5/2 × 3/1 = (5 × 3) / (2 × 1) = 15/2

Convert to a mixed number:
> 15/2 = 7½

✔ Answer: Natalie can make 7½ cupcakes.

*(Note: Since you can’t make half a cupcake in real life, you might say 7 full cupcakes, but the question asks for the mathematical answer, so 7½ is correct.)*

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Problem 2:

> There were 15 people and 5½ pies. Everyone decided that the fairest thing would be to share the pies out equally. What fraction of a pie does each person receive?

#### Step-by-step solution:

Total pies ÷ Number of people = Fraction per person

> 5½ ÷ 15

Convert 5½ to improper fraction:
> 5½ = 11/2

Now divide:
> 11/2 ÷ 15 = 11/2 ÷ 15/1 = 11/2 × 1/15 = 11/(2×15) = 11/30

✔ Answer: Each person receives 11/30 of a pie.

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Problem 3:

> Rachel cuts a 30m skipping rope into pieces of 1½ metres each. What is the maximum number of pieces Rachel can cut from the rope?

#### Step-by-step solution:

Total length ÷ Length per piece = Number of pieces

> 30 ÷ 1½

Convert 1½ to improper fraction:
> 1½ = 3/2

Now divide:
> 30 ÷ 3/2 = 30 × 2/3 = (30 × 2) / 3 = 60/3 = 20

✔ Answer: Rachel can cut 20 pieces.

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## ✔ Final Answers:

1. 7½ cupcakes
2. 11/30 of a pie per person
3. 20 pieces

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## 💡 Key Concept Reminder:
When dividing fractions, remember:
> “Keep, Change, Flip”

- Keep the first number (or fraction)
- Change the division sign to multiplication
- Flip (invert) the second fraction

Then multiply numerators and denominators, simplify if needed.

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Let me know if you’d like these explained with diagrams or visual models!