Mathematics: How do you know if 5/9 is bigger then 11/20

Correct i think if not then it maybe /999 or /1000...

How do you know if 5/9 is bigger then 11/20 - id5911202766740, SorayaC9669

Ответ:

lisaxo

04.01.2022

There are a few ways.

We can convert both of them to decimals.

$\sf\dfrac{5}{9}\rightarrow0.\overline{5}$

$\sf\dfrac{11}{20}\rightarrow0.55$

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.

$\sf\dfrac{5}{9}\rightarrow\dfrac{5\times20}{9\times20}\rightarrow\dfrac{100}{180}$

$\sf\dfrac{11}{20}\rightarrow\dfrac{11\times9}{20\times9}\rightarrow\dfrac{99}{180}$

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

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How do you know if 5/9 is bigger then 11/20

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