A mixed number is a whole number and a fraction combined.

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

Solve problems involving converting between mixed numbers and improper fractions

Maths

In this 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 future unit pupils will add mixed numbers. They will subtract a proper fraction from a mixed number and subtract a mixed number from a mixed number and explain which strategy is most efficient.

In the prior unit pupils made efficient choices about the order they solved an addition and subtraction problem in. In this 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.

Convert improper fractions to mixed numbers and vice versa

Convert this improper fraction into a mixed number.

Convert this mixed fraction into an improper fraction. $$ 3 {{1} \over {5}} $$

Aisha has three and two-quarters oranges. Jun has 13 quarters of oranges. Which statement is correct?

Aisha runs two and four-fifths of a kilometre. Jun runs 14 fifths of a kilometre. Who has run the furthest?

Which symbol would make this inequality correct?

Starting with the smallest, put these fractions in order.

If we want to express $$ {21} \over {3}$$ as a mixed number, the unit we need to think about is {{ }}.

Express $$ {9} \over {7}$$ as a mixed number.

Express $$3{{1} \over {10}}$$ as an improper fraction.

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

Solve problems involving converting between mixed numbers and improper fractions

Lesson outcome

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