When Xiao Ming divided a number by (4/3), he miscalculated as dividing by (3/4), and the quotient obtained was (16/13). What should be the correct quotient?
小明在计算一个数除以(4/3)时，错算成除以(3/4)，得到的商是(16/13)．正确的商应该是多少？
<gadget id="calculator">16 / 13</gadget>
<output>16/13 = around 1.230769</output>

<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>

<gadget id="calculator">4 / 3</gadget>
<output>4/3 = around 1.333333</output>

<gadget id="calculator">(3/4) / (4/3)</gadget>
<output>9/16 = around 0.5625</output>

<gadget id="calculator">(16/13) * (9/16)</gadget>
<output>9/13 = around 0.692308</output>

<result>9/13 = around 0.692308</result>