Converting improper fractions to mixed numbers

Learning focus

Learn how to write a number as an improper fraction and a mixed number.

This includes:

  • two videos
  • two worksheets

Quiz

Try this quiz to see how well you know the topic.

Learn

These activities will teach you to be confident with mixed numbers and improper fractions.

In this lesson, you will learn how many halves make one whole, how many thirds make one whole, and so on.

Then you will use this skill to change improper fractions into mixed numbers and understand how they are equal.

Converting improper fractions to mixed numbers - Part a

This lesson starts with tins of paint that hold half a litre each. We will think about how to write the total as an improper fraction and a mixed number.

Converting improper fractions to mixed numbers - Part b

Now we will work with different tins of paint that hold a third of a litre each. Again, we will practice writing the total as an improper fraction and a mixed number.

Practise

Activity 1

Converting improper fractions and mixed numbers worksheet 1

These questions help you to practice the skill of converting improper fractions and mixed numbers either using diagrams or by thinking carefully about the numerators and denominators.

  • In question 1, how does the bar model help to represent the question? How can this fraction be written?
  • In question 2, what method will you use to find how many wholes there are in an improper fraction?
  • In question 3, what do you notice about how the mixed numbers change? Is there a pattern?
Converting improper fractions and mixed numbers
document

Check here for the answer sheet

Activity 2

Converting improper fractions and mixed numbers worksheet 2

Use this independent practice activity to build your confidence and accuracy when converting between mixed numbers and improper fractions.

Complete the diagrams where necessary and use them to support your reasoning!

Converting improper fractions and mixed numbers
document

Check here for the answer sheet

Play

Play Guardians: Defenders of Mathematica to learn more and sharpen your skills on this topic.

Guardians: Defenders of Mathematica

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