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Year 6 - Maths

Explain how to divide a fraction by a whole number efficiently

Multiplication and division of fractions

Unit Summary

In this unit pupils will learn how to multiply 2 unit fractions and 2 non-unit fractions. They will learn how to divide a unit fraction and a non-unit fraction by a whole number.

Lesson Summary

You will learn to explain how to divide a fraction by a whole number efficiently.

Key Notes

  • When you divide a fraction by a whole number, you can calculate this efficiently.
  • When the numerator is a multiple of the divisor, you can unitise to make the calculation easier to manage.
  • When the numerator is not a multiple of the whole, you can convert the equation to to multiply by a unit fraction.
  • When you divide a non-unit fraction by a whole number, you notice the denominator is multiplied by the whole number.

Vocabulary To Learn

  • Divisor: The divisor is the number that we divide by. For example, in this equation, 3 is the divisor.

Common Mistakes To Avoid

  • Pupils automatically convert the division equation to multiply by a unit fraction regardless of the calculation.

3 Quick Questions (With Answers)

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

When you divide a fraction by a whole number, you can calculate this efficiently. When the numerator is a multiple of the divisor, you can unitise to make the calculation easier to manage.

2. Use this key word in a maths sentence and explain it clearly. 'Divisor'

The divisor is the number that we divide by. For example, in this equation, 3 is the divisor. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: Pupils automatically convert the division equation to multiply by a unit fraction regardless of the calculation. Correction: Many calculations can be managed through developing a sense of fractions. Where pupils have a sense of fractional magnitude, it is often easier to solve these calculations mentally. Continue to encourage representing these equations using model.

More Lessons In This Unit

Browse all guides in the Year 6 Maths guide library.