Mixed Numbers & Improper Fractions
This topic covers 4 learning steps, guiding your child from the basics through to confident problem-solving. Each step includes a worked example and adaptive practice questions.
What Your Child Will Learn
- What Are Mixed Numbers?
Understand whole-and-fraction notation - Convert Between Forms
Convert improper fractions to mixed numbers and back - Add & Subtract Mixed Numbers
Calculate with mixed numbers - Challenge — Mixed Number Word Problems
Multi-step problems with mixed numbers
Before This Topic
Your child should be comfortable with:
Common Mistakes
- Adding the whole number and the fraction incorrectly (e.g. thinking 2 3/4 means 2 × 3/4 instead of 2 + 3/4)
A mixed number means a whole number PLUS a fraction: 2 3/4 = 2 + 3/4. It is NOT a multiplication. Use a number line to show that 2 3/4 sits between 2 and 3. - Converting mixed numbers to improper fractions incorrectly (e.g. 2 1/3 → putting 21/3 instead of 7/3)
Multiply the whole number by the denominator, then add the numerator: 2 1/3 → (2 × 3) + 1 = 7, so 2 1/3 = 7/3. Check by converting back: 7 ÷ 3 = 2 remainder 1 = 2 1/3.
Tips for Parents
- Use real-life examples: "We used 1 1/2 cups of flour — that is 1 whole cup plus half a cup." Baking is perfect for mixed numbers.
- Draw number lines and mark mixed numbers on them — show that 3 1/4 is one quarter past the 3.
- Practise converting between mixed numbers and improper fractions using pizza slices: "Each pizza has 4 slices. We have 2 whole pizzas and 3 extra slices — that is 11/4 or 2 3/4."
- When your child encounters mixed numbers in homework, ask them to estimate first: "Is 3 2/5 closer to 3 or to 4?"
Key Words
- Mixed number — A number with a whole-number part and a fraction part — like 2 3/4.
- Improper fraction — A fraction where the numerator is bigger than the denominator — like 11/4.
- Convert — Change from one form to another — change 2 3/4 to 11/4 or vice versa.
- Whole number — A complete number without fractions — like 1, 2, 3, 4.
Where This Fits
Before this topic: Children should understand proper fractions, equivalent fractions, and adding fractions with the same denominator.
After this topic: Mixed numbers and improper fractions lead to multiplying and dividing fractions, and to converting fluently between fractions, decimals, and percentages in Year 6.
How MathCraft Teaches This
In MathCraft, Mixed Numbers & Improper Fractions is taught through the Number & Fractions adventure track. Your child follows guided lessons with friendly characters, works through examples step by step, then practises with questions that adapt to their level.
The adaptive engine tracks mastery across all 4 steps, revisiting concepts your child finds tricky and advancing when they're ready. Parents can see detailed progress in the Parent Dashboard.
Practise Mixed Numbers & Improper Fractions with MathCraft
Step-by-step lessons, worked examples, and adaptive practice — all wrapped in an adventure game your child will love.
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