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

Question

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 (A) 1 (B) 2 (C) 3 (D) 4

Tardigrade Admin · Accepted Answer

(1/30)+(7/30)+(11/30)+(13/30)+(17/30)+(19/30)+(23/30)+(29/30) =4

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

1

2

3

4

5

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

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

1

2

3

4

5

301​+307​+3011​+3013​+3017​+3019​+3023​+3029​ =4

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

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