mathematics competition is divided into first, second and third prizes. Among them, the number of people who won the first and second prizes accounted for (5/9) of the total number of winners, and the number of people who won the second and third prizes accounted for (7/9) of the total number of winners. Among them, 9 people won the second prize. How many people have won the mathematics competition in total?
一次数学竞赛分一、二、三等奖．其中获一、二等奖的人数占获奖总人数的(5/9)，获二、三等奖的人数占获奖总人数的(7/9)，其中获二等奖的有9人，这次数学竞赛获奖的共有多少人？
<gadget id="calculator">5 / 9</gadget>
<output>5/9 = around 0.555556</output>

<gadget id="calculator">7 / 9</gadget>
<output>7/9 = around 0.777778</output>

<gadget id="calculator">(7/9) - 1</gadget>
<output>-2/9 = around -0.222222</output>

<gadget id="calculator">(5/9) + (-2/9)</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">9 / (1/3)</gadget>
<output>27</output>

<result>27</result>