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Summary: expressing fractions as decimals and as percentages

This week’s focus was to consider how the same proportion can be represented as a fraction, a decimal and a percentage.
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MICHAEL ANDERSON: This week we have focused on converting between fractions, decimals, and percentages.
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PAULA KELLY: We started by converting fractions into decimals. We discovered that while some fractions terminate, other conversions produce recurring decimals– decimals that their digits go on forever.
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MICHAEL ANDERSON: We’ve also lots of methods to convert decimals into fractions, and how to convert these into percentages, and back.
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PAULA KELLY: Next week, we’ll look at how to multiply using fractions, decimals, and percentages, and we’ll have a range of problems for you to attempt.
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MICHAEL ANDERSON: Remember to check out this week’s accompanying worksheet of practise questions. We’ve also linked to some further resources you may wish to explore in order to consolidate your learning from this week.
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PAULA KELLY: We hope you enjoyed this week, and we’ll see you again in week 3.
This week we look at how the same proportion can be represented as a fraction, a decimal and a percentage. Fractions can be converted into decimal form, sometimes producing a terminating decimal and sometimes producing a recurring decimal. Terminating and recurring decimals can, therefore, be represented as a fraction.
You have practised converting between fractions, decimals, and percentages, and you’ve been asked to explain why some fractions produce terminating decimals and others lead to recurring decimals.

Further resources

These links contain further resources you may wish to explore in order to consolidate your learning and some teaching resources you may consider using in the classroom.
Next week, we will explore what it means to multiply fractions, decimals and percentages and consider different methods by which this can be achieved.

Answers

Answers for the weekly problem sheet questions are available under the Downloads link at the bottom of this step. Review your answers and if you got some wrong, review the steps and try again.
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Maths Subject Knowledge: Fractions, Decimals, and Percentages

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