From mixed to improper
means two wholes and one third, which is 7 thirds.
Two wholes are 6 thirds, then add 1 more third.
Year 5
Recognise mixed numbers and improper fractions and convert from one form to the other
Convert between mixed numbers and improper fractions accurately.
Lesson overview
Number - fractions
A mixed number has a whole number and a fraction. An improper fraction has a numerator greater than or equal to the denominator. We can convert between them by using how many equal parts make one whole.
From improper to mixed
is 2 wholes and 1 quarter.
See how many full groups of 4 fit into 9.
Whole numbers as fractions
3 can be written as or .
A whole number can be written as a fraction in many ways.
Worked example
Convert to an improper fraction.
- Three wholes is 15 fifths.
- Add the extra 2 fifths.
- 15 fifths plus 2 fifths is 17 fifths.
Round 1: Learn it
Count how many equal parts are in the whole numbers first.
Finish this round to unlock Round 2: Show you know it.
Question 1
What is as an improper fraction?
Question 2
What is as a mixed number?
Question 3
What is as an improper fraction?
Question 4
What is as a mixed number?
Question 5
Which improper fraction equals ?
Common mistakes
Watch for these as you work through the lesson.
- Changing the denominator during conversion.
- Forgetting to add the extra fractional part after converting the wholes.
- Writing the remainder as a decimal instead of a fraction.
Related topics
These ideas connect closely to this lesson.
- Compare and order fractions whose denominators are all multiples of the same number.
- Add and subtract fractions with the same denominator and denominators that are multiples of the same number.