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iGreen
There are a few ways.

We can convert both of them to decimals.

[tex]\sf\dfrac{5}{9}\rightarrow0.\overline{5}[/tex]

[tex]\sf\dfrac{11}{20}\rightarrow0.55[/tex]

As you can see, 5/9 has a 5 that goes on forever, and 11/20 has just two 5's, therefore 5/9 is bigger than 11/20.

Another way to do this is to convert both of them to the same denominator.

Just find the least common multiple between 9 and 20, which is 180.

[tex]\sf\dfrac{5}{9}\rightarrow\dfrac{5\times20}{9\times20}\rightarrow\dfrac{100}{180}[/tex]

[tex]\sf\dfrac{11}{20}\rightarrow\dfrac{11\times9}{20\times9}\rightarrow\dfrac{99}{180}[/tex]

Since 100 is greater than 99, 5/9 is greater than 11/20.

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