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Comparing fractions. Miss joubert. Three ways to compare. If numerators are the same and denominators are different EASY If denominators are different. Benchmarks (above or below half way). Use equivalent fractions . Numerators same. What do you notice: .

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Comparing fractions

Comparing fractions

Miss joubert


Three ways to compare
Three ways to compare

  • If numerators are the same and denominators are different

  • EASY

  • If denominators are different

Benchmarks (above or below half way)

Use equivalent fractions


Numerators same
Numerators same

  • What do you notice:


Numerators same denominators different
Numerators same – denominators different

  • Hopefully you noticed:

  • The more parts you divide the whole into

  • the smaller each part gets

  • So if numerators are the same (You comparing the same amount)

  • Then the bigger the denominator – the smaller the fraction!


Examples
EXAmples

  • Which fraction is bigger?

  • or or

  • or or


If denominators are different
If denominators are different

  • OPTION 1 – Check for benchmarks

  • Work out if you fraction is bigger or smaller than half

  • If one is less than half and other is bigger than half then you have your answer!

  • E.g. Is or bigger?


If denominators are different1
If denominators are different

  • OPTION 2 – Make the denominators the same

  • If benchmarks don’t work (both smaller or bigger than half way)

  • Use equivalent fractions to compare more easily

  • E.g. Is or bigger?

  • Change : x 2 = So therefore is bigger


Now it is your turn
Now it is your turn

  • Use benchmarks or equivalent fractions to work our which fractions are bigger


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