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Determine the number of fractions in the pattern below that are expressed in lowest terms.

1/2019, 2/2019, 3/2019, ..., 2019/2019

 Oct 12, 2022
 #1
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All numerators that are multiples of 3, from 3 to 2019 will express the fraction in lowest form:

 

[2019 -  3] / 3 + 1 ==673 fractions

 Oct 12, 2022
 #2
avatar+33270 
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Numerators that are multiples of three are able to express the fraction in lowest form, but aren't actually so expressed here.  For example, 3/2019 isn't in lowest form.

 

And what about numerators that are multiples of 673?  

Alan  Oct 12, 2022
 #3
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The above should read:

 

[2019 - 3] / 3  +  3=675 such fractions.

Guest Oct 12, 2022

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