Write (1/2)+(1/12)+(1/30)+(1/56)+(1/90) as the sum of five real fractions whose denominator is a continuous natural number.
将(1/2)+(1/12)+(1/30)+(1/56)+(1/90)写成分母是连续自然数的五个真分数的和．
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>

<gadget id="calculator">(1/3) - (1/4)</gadget>
<output>1/12 = around 0.083333</output>

<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">(1/5) - (1/6)</gadget>
<output>1/30 = around 0.033333</output>

<gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>

<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>

<gadget id="calculator">(1/7) - (1/8)</gadget>
<output>1/56 = around 0.017857</output>

<gadget id="calculator">1 / 9</gadget>
<output>1/9 = around 0.111111</output>

<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>

<gadget id="calculator">(1/9) - (1/10)</gadget>
<output>1/90 = around 0.011111</output>

<gadget id="calculator">(1/2) + (1/12) + (1/30) + (1/56) + (1/90)</gadget>
<output>1_627/2_520 = around 0.645635</output>

<result>1_627/2_520 = around 0.645635</result>