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

Express an amount of fifths 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)

Which of the following are improper fractions?

Look at this counting sequence. What comes next? 15 fifths     20 fifths     25 fifths     {{ }} fifths

Look at this number line. Which improper fraction is equivalent to $$1{{3} \over {5}}$$

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

Which of these represents this mixed number $$1{{1} \over {5}}$$ as an improper fraction?

If nine chocolate bars were each cut into fifths, how many fifths would there be? {{ }} fifths

Look at the bar. What fraction of the bar is shaded grey?

Look at this number $$3 {{2} \over {5}}$$ We say it as three and two {{ }}.

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

$$ {3} \over {5}$$ − $$ {2} \over {5}$$ 

Match the equations so they are equivalent and complete.

Jacob has four buckets. Each contains five tennis balls. How many tennis balls does he have? {{ }} tennis balls

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

Express an amount of fifths as a mixed number and an improper fraction.

Lesson outcome

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