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

An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number).

Explain how an improper fraction is converted into a mixed number

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

Aisha has 21 counters. Each counter has $$ {3} \over {9}$$ written on it. Which unit does she need to be thinking about?

Complete the sentence. There are {{ }} ninths in one whole.

How many groups of nine ninths are there in 21 ninths?

How would you write 21 ninths as a mixed number?

Express $$ {36} \over {7}$$ as a mixed number.

Match the improper fraction to its mixed number equivalent.

Which of the following are improper fractions?

Which of the following are mixed numbers?

Match the equation to its result. Remember r means a remainder.

Match the improper fractions to their equivalent whole number.

Use the part-part-whole model to express $$ {22} \over {5}$$ as a mixed number.

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

Explain how an improper fraction is converted into a mixed number

Lesson outcome

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