Convert improper to mixed
- Divide numerator by denominator.
- The quotient is the whole number.
- The remainder stays over the denominator.
Answer: 11/4 = 2 3/4
🔢 Number
Mixed and improper fractions
Learn mixed and improper fractions with a GCSE-style explanation, help guide, worked example, practice question and flashcards.
Global XP
Level 10 / 100 XP
1. Explanation
Key idea
- Mixed and improper fractions is part of fractions and appears often in KS3–GCSE maths.
- Mixed numbers have a whole part and a fraction part; improper fractions have numerator greater than denominator.
- Use the worked model, help guide, interactive question and flashcards to practise mixed and improper fractions until the steps feel automatic.
Real-life examples
- Shopping, sport, travel, science, design and everyday decisions all use this skill.
2. Visual
Mixed and improper fractions learning map
Understand the key idea → follow the help guide → practise a question → check your method → build speed with flashcards.
3. Help guide
How to tackle Mixed and improper fractions
- Learn the rule: Mixed numbers have a whole part and a fraction part; improper fractions have numerator greater than denominator.
- Worked model: Divide numerator by denominator. The quotient is the whole number. The remainder stays over the denominator.
- Try the interactive question without looking at the answer first.
- Use the flashcards to test the rule, the method and a common check.
4. Worked examples
Step-by-step working
5. Interactive questions
Try it yourself
Convert 7/3 to a mixed number.
6. Flashcards
Master quick recall
Flip each card, then choose whether you know it or need more practice.
0 mastered
FrontRule for Mixed and improper fractions
BackMixed numbers have a whole part and a fraction part; improper fractions have numerator greater than denominator.
FrontExample answer: Convert 7/3 to a mixed number.
Back7 ÷ 3 = 2 remainder 1, so 7/3 = 2 1/3.
FrontCommon check for Mixed and improper fractions
BackCheck units/notation, compare with an estimate, and make sure the answer matches the question.
7. Finish
Complete this topic
When you have read the examples, tried the question and reviewed flashcards, claim your topic completion XP.