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This content is taken from the National STEM Learning Centre's online course, Maths Subject Knowledge: Fractions, Decimals, and Percentages. Join the course to learn more.
5.1

## National STEM Learning Centre

Skip to 0 minutes and 7 seconds MICHAEL ANDERSON: Hello, and welcome to week 5.

Skip to 0 minutes and 9 seconds PAULA KELLY: This week, we explore some methods to help divide decimals and fractions without the use of a calculator. The aim is to use some methods which help to develop understanding.

Skip to 0 minutes and 19 seconds MICHAEL ANDERSON: As we go through each step, you’ll find a range of examples as well as questions for you to try yourself. We’ve also linked to some traditional classroom-based resources you may wish to explore in your own teaching.

Skip to 0 minutes and 31 seconds PAULA KELLY: Don’t forget to join the discussion. Post your answers, thoughts, and questions in the sections below each step.

# Dividing with decimals and fractions

Last week we started to bring together the course to help us address worded questions. We used equivalent fractions, added and subtracted fractions and compared the relative size of numbers expressed as fractions, decimals or percentages.

This week we explore methods to help divide decimals and fractions without the use of a calculator. The aim is to use methods that develop understanding. As we go through each step you will consider a range of examples and attempt some questions yourself. You can join the discussion by posting your answers, thoughts, and questions in the sections below each step

You can download this week’s problem worksheet at the end of this unit.

## Starter problem

This week we’re giving you the chance to set your own starter problem. You can combine fractions, decimals, and percentages in any way you like, but you must have at least three numbers. You can use whatever operators you wish (addition, subtraction, multiplication, and division), but must use at least two different operators.

You may like to set your problem in a real-life context or require students to use mathematical skills met in other topics such as geometry. We’ll look at this more at the end of this week.

Post your starter problem into the comments below. Then during the week, we’d like you to return to your own starter problem, or even attempt another learner’s starter problems.