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

Proportion is a part to whole (sometimes part to part) comparison.

Problem solving with fractions and decimals

Maths

Checking and securing understanding of fractions

The identity property of multiplication and division

Checking and securing converting improper fractions to mixed numbers

Checking and securing converting mixed numbers to improper fractions

Converting fractions to terminating decimals

Converting fractions to recurring decimals

Converting terminating decimals to fractions

Simplifying fractions

Converting fractions with technology

Limitations of technology in calculations

Ordering negative integers

Ordering decimals

Ordering fractions by converting

Ordering fractions by way of a common denominator

Ordering fractions in different ways

Ordering positive and negative fractions and decimals

Between numbers

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.

This unit develops understanding and manipulation of fractions, including conversion between fractions to terminating and recurring decimals. Pupils then learn strategies to order fractions of increasing complexity.

Comparing and ordering fractions and decimals (positive and negative)

{{ }} is a part to whole (sometimes part to part) comparison.

To compare $$\frac{1}{2}, \frac{2}{3}, \frac{3}{4}$$ and $$\frac{5}{6}$$ which common denominator would be the most efficient?

Izzy, Andeep, Lucas, Alex and Sam took part in a quiz. Below are the proportions for how many questions they each got right. Order them from worst to best.

Yes - he has £2.51 left to spend which is more than enough

Yes - he has exactly £1.58 left to spend which is the cost of the cupcake

No - he has £1.51 left to spend which is not enough

Jacob buys a drink and an ice cream. He also wants to buy a cupcake. He has £5. Can he afford to buy the cupcake?

A rectangle has a length of $$0.82$$ m and a width of $$\frac{2}{5}$$ m. What is the perimeter of the rectangle? Give your answer in decimal form.

Two fractions are {{ }} if they have the same value.

Andeep writes down the number 0.99 Select all the numbers below that are greater than Andeep's number.

I am rolling a six sided dice and filling in two grids. Select the numbers that can replace $$a$$ so that the number in the first grid will be less than the number in the second grid.

I am rolling a six sided dice and filling in two grids. If $$a$$ = 5, which of the following numbers can replace $$b$$ so that the second number is less?

What fraction is halfway between $$\frac{8}{11}$$ and $$\frac{10}{11}$$?

What fraction is halfway between $$\frac{4}{7}$$ and $$1$$?

Problem solving with fractions and decimals

Lesson outcome