Ordering FDP (CIE IGCSE Maths: Extended)

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Mark

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27 July 2023

Ordering FDP

How do I put fractions in order of size?

If comparing only fractions, write them over a lowest common denominator

For $\frac{3}{5}, \frac{1}{2}, \frac{13}{20}, \frac{7}{12}$ , the lowest common denominator of 5, 2, 20 and 12 is 60 so change them to $\frac{36}{60}, \frac{30}{60}, \frac{39}{60}, \frac{35}{60}$ then order them by their numerators

From smallest to largest: $\frac{30}{60}, \frac{35}{60}, \frac{36}{60}, \frac{39}{60}$ so $\frac{1}{2}, \frac{7}{12}, \frac{3}{5}, \frac{13}{20}$

How do I put fractions, decimals and percentages in order of size?

If comparing a mixture of fractions, decimals and percentages, change everything into decimals

Order by Size Notes fig5 (1)

Order by Size Notes fig5 (2)

Order by Size Notes fig5 (3)

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Author: Mark

Expertise: Maths

Mark graduated twice from the University of Oxford: once in 2009 with a First in Mathematics, then again in 2013 with a PhD (DPhil) in Mathematics. He has had nine successful years as a secondary school teacher, specialising in A-Level Further Maths and running extension classes for Oxbridge Maths applicants. Alongside his teaching, he has written five internal textbooks, introduced new spiralling school curriculums and trained other Maths teachers through outreach programmes.