A mixed number is a whole number and a fraction combined. For example, one and a half is a mixed number.

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

Express a quantity as a mixed number and an improper fraction

Maths

In this unit pupils will make efficient choices about the order they solve an addition and subtraction problem in. In the future 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.

In the prior unit pupils estimated the position of numbers on a number line using fraction sense. They compared and ordered mixed numbers using fraction sense when the whole number and the numerator of the fractional part was the same. In this unit pupils will make efficient choices about the order they solve an addition and subtraction problem in.

Addition and subtraction of fractions and mixed numbers (within a whole)

A whole has been divided into eight equal parts. Which unit do we need to think about?

Complete the sentence. The denominator of the fractional part of this mixed number, $$4{{5} \over {7}}$$ is seven. The unit we are working with is {{ }}.

Complete the stem sentence to describe the image. There are three groups of five fifths, which is 15 fifths and one more fifth, so that is {{ }} fifths.

Express four and three-ninths as an improper fraction.

Match the mixed number to the equivalent improper fraction.

Jacob has seven whole pizzas and a quarter of a pizza. If the whole pizzas are also cut into quarters, how many quarters will there be?

Which of the following are improper fractions?

Which of the following are mixed numbers?

Look at the part-part-whole model. What is the missing part?

How do we write the whole number eight as an improper fraction with a denominator of five?

Which of these represents the mixed number $$1{{2} \over {4}}$$ as an improper fraction?

This lesson will be removed by end of Summer Term 2025.

Express a quantity as a mixed number and an improper fraction

Lesson outcome

This lesson will be removed by end of Summer Term 2025.