Word Problem: Improper Fractions and Mixed Numbers
22 October 2026
Word-based problems often use fractions to describe real-life situations, like sharing food or dividing objects. Understanding how to turn improper fractions into mixed numbers helps your child see exactly how much is being given or shared.
Worked example
Sophie bakes some cupcakes. She gives \( \frac{11}{4} \) cupcakes to her friends. How many whole cupcakes and how many quarters of a cupcake did she give?
Step 1: Divide 11 by 4. 11 divided by 4 is 2, with 3 left over.
Step 2: Write the answer as a mixed number. 2 whole cupcakes and 3 quarters left: 2\( \frac{3}{4} \).
Key insight: An improper fraction shows more than one whole. You can turn it into a mixed number to see how many whole items and parts you have.
The correct answer is 2 whole cupcakes and 3 quarters of a cupcake.
After working through this example, your child will know how to spot when a fraction is improper and how to convert it into a mixed number. This skill is useful for many 11+ questions, and there are more practice problems ready for them to try.
