+174 Find the sum of all positive rational numbers that are less than 5, and that have a denominator of 30 when written in lowest terms
I'm not sure if I understand your question, but here is my best effort. Notice that I have included numbers 1, 2, 3 and 4, being the even result of: 30/30, 60/30, 90/30 and 120/30. If you are not supposed to include those numbers, Just subtract them from the total:
1 / 30, 7 / 30, 11 / 30, 13 / 30, 17 / 30, 19 / 30, 23 / 30, 29 / 30, 1, 31 / 30, 37 / 30, 41 / 30, 43 / 30, 47 / 30, 53 / 30, 59 / 30, 2, 61 / 30, 67 / 30, 71 / 30, 73 / 30, 77 / 30, 79 / 30, 83 / 30, 89 / 30, 3, 91 / 30, 97 / 30, 101 / 30, 103 / 30, 107 / 30, 109 / 30, 113 / 30, 119 / 30, 4, 121 / 30, 127 / 30, 131 / 30, 133 / 30, 137 / 30, 139 / 30, 143 / 30, 149 / 30 =3251 / 30
