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Year 4 - Maths

Compare mixed numbers when the denominators of fractional parts are different

Compare and order mixed numbers and position on a number line

Unit Summary

In this unit pupils will estimate the position of numbers on a number line using fraction sense. They will compare and order mixed numbers using fraction sense when the whole number and the numerator of the fractional part is the same.

Lesson Summary

You will learn to compare and order mixed numbers when the whole and the numerator of the fractional part is the same.

Key Notes

  • If mixed numbers have the same whole number parts, then the size of the fractional parts determines the greater number.
  • When we compare fractions that have the same numerator, the greater the denominator, the smaller the fraction.
  • Knowledge of comparing proper fractions can help when comparing mixed numbers.

Vocabulary To Learn

  • Mixed number: A mixed number is a whole number and a fraction combined.

Common Mistakes To Avoid

  • Children may compare the fractional part of the mixed number first rather than the more significant whole number part.

3 Quick Questions (With Answers)

1. Solve this in steps: explain the method from this lesson and why each step matters.

If mixed numbers have the same whole number parts, then the size of the fractional parts determines the greater number. When we compare fractions that have the same numerator, the greater the denominator, the smaller the fraction.

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 compare the fractional part of the mixed number first rather than the more significant whole number part. Correction: What do you notice? If the whole number is the same, we need to look at the fractional part. If the numerators are the same, we need to compare the denominators - the smaller the denominator the greater the fraction.

More Lessons In This Unit

Browse all guides in the Year 4 Maths guide library.