A proper fraction is a fraction where the numerator is less than the denominator.

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

A mixed number is an improper fraction written as its integer part plus the fractional part where the fractional part is a proper fraction.

Checking and securing converting mixed numbers to improper fractions

Maths

In this unit, pupils have explored the structure of fractions and their relationship with decimals and integers. This is built on in the future unit where pupils deepen their understanding of the arithmetic procedures involving fractions and integers.

In this unit, pupils will be asked to compare and order both fractions and decimals and will assess when conversion is required. Fluency in working with decimals and integers is an important skill which is developed in the prior unit.

Comparing and ordering fractions and decimals (positive and negative)

Fractions where the numerator is greater than or equal to the denominator are called {{ }} fractions.

The integer that is equivalent to the fraction $$20 \over 4$$ is {{ }}.

Write $$4\frac{2}{3}$$ as an improper fraction.

Write the correct symbol (<, > or =) to make the statement true: $$15 \frac {1}{4} $${{ }} $$\frac {31}{2} $$

Starting with the smallest, put these fractions and mixed numbers in order of size.

A gardener puts up a fence around a rectangular garden. Each fence panel is 1 metre long and costs £35. What is the total cost of the fencing? £{{ }}

Match together each type of fraction with an example of that fraction.

Write the correct symbol (<, > or =) to make the statement true: 236 ÷ 237 {{ }} 1

Match each statement to the symbol that should go in the box to make each statement true.

Aisha writes: $$\frac{17} {6} = \square \frac {5}{6}$$. Jun should write the number {{ }} in the box.

Izzy writes: $$\frac{23} {4} = 5 \frac {\square}{4}$$. Izzy should write the number {{ }} in the box.

Match each improper fraction to its equivalent mixed number.

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

Checking and securing converting mixed numbers to improper fractions

Lesson outcome

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