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).

Convert a number of quarters from an improper fraction to 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

Four quarters is equivalent to {{ }} whole.

Match the improper fractions to their equivalent whole number.

Use the part-part-whole model to express $$ {7} \over {4}$$ as a mixed number.

Which of these represents this improper fraction $$ {6} \over {4}$$ as a mixed number?

Use the part-part-whole model to express $$ {14} \over {4}$$ as a mixed number.

Match the improper fractions to their equivalent mixed number.

Look at this number $$ {7} \over {4}$$  We say it as seven {{ }}.

Look at this counting sequence. What comes next?
12 quarters    16 quarters    20 quarters   {{ }} quarters.

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

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

Convert a number of quarters from an improper fraction to a mixed number

Lesson outcome

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