Year 4 - Maths
Convert a number of quarters from an improper fraction to a mixed number
Convert improper fractions to mixed numbers and vice versa
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils will express and convert a quantity from an improper fraction to a mixed number and explain how a mixed number is converted into an improper fraction.
Lesson Summary
You will learn to convert a quantity from an improper fraction to a mixed number using quarters.
Key Notes
- An improper fraction is a fraction where the value of the numerator is greater than the value of the denominator.
- An improper fraction is greater than 1
- Four quarters are equal to one whole or 1
- If there are quarters left, they form the fraction part of the mixed number.
Vocabulary To Learn
- Mixed number: A mixed number is a whole number and a fraction combined.
- Improper fraction: An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number).
Common Mistakes To Avoid
- Children may not fully convert and may leave the fractional part of the mixed number as an improper fraction e.g. 13/4 = 2 and 5/4
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
An improper fraction is a fraction where the value of the numerator is greater than the value of the denominator. An improper fraction is greater than 1.
2. Use this key word in a maths sentence and explain it clearly. 'Mixed number'
A mixed number is a whole number and a fraction combined. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Children may not fully convert and may leave the fractional part of the mixed number as an improper fraction e.g. 13/4 = 2 and 5/4. Correction: Support via questioning: How many quarters make one whole? How many full groups of four quarters can you make? Emphasise the fractional part needs to have a numerator smaller than the denominator and take time to discuss why.
More Lessons In This Unit
- Convert a number of fifths from an improper fraction to mixed number Study Guide
- Explain how a mixed number is converted into an improper fraction Study Guide
- Explain how an improper fraction is converted into a mixed number Study Guide
- Solve problems involving converting between mixed numbers and improper fractions Study Guide
Browse all guides in the Year 4 Maths guide library.