((())/(a)), ((())/(b)), ((())/(c)) are the three simplest true fractions, a, b, and c represent different positive integers , and a, b, c are mutually prime, their least common multiple is 30, what is the largest sum of these three fractions?
((())/(a))，((())/(b))，((())/(c))是三个最简真分数，a、b、c表示不同的正整数，且a、b、c两两互素，它们的最小公倍数是30，这三个分数的和最大是多少？
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>

<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>

<gadget id="calculator">(1/2) + (2/3) + (4/5)</gadget>
<output>59/30 = around 1.966667</output>

<result>59/30 = around 1.966667</result>