+826 What is the sum of all positive common fractions (in simplest terms) less than $5$ whose denominator is 3?
+1926 We can easily just list the values we have
\(\frac{1}{3}, \frac{2}{3}, \frac{4}{3},\frac{5}{3}, \frac{7}{3}, \frac{8}{3}, \frac{10}{3}, \frac{11}{3}, \frac{13}{3}, \frac{14}{3}\)
The numbers we excluded like 3/3 or 6/3 are not in simplest form, so we ignore them.
Adding all these fractions up, we get \(75/3=25\)
So 25 is our answer.
Thanks! :)
+1926 We can easily just list the values we have
\(\frac{1}{3}, \frac{2}{3}, \frac{4}{3},\frac{5}{3}, \frac{7}{3}, \frac{8}{3}, \frac{10}{3}, \frac{11}{3}, \frac{13}{3}, \frac{14}{3}\)
The numbers we excluded like 3/3 or 6/3 are not in simplest form, so we ignore them.
Adding all these fractions up, we get \(75/3=25\)
So 25 is our answer.
Thanks! :)
