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  4. Consider the set of all positive rational numbers that are less than 1 and that have denominators as 30 in their lowest terms. Their sum is equal to

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Q. Consider the set of all positive rational numbers that are less than $1$ and that have denominators as $30$ in their lowest terms. Their sum is equal to

KEAMKEAM 2020

Solution:

$\frac{1}{30}+\frac{7}{30}+\frac{11}{30}+\frac{13}{30}+\frac{17}{30}+\frac{19}{30}+\frac{23}{30}+\frac{29}{30}$
$=4$