A rational number when multiplied by 3/2 and subtracted from 5/12 gives -6/7. Find the rational number
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Let the rational number be x.
Given 5/12 - 3/2 * x = -6/7
=> 5/12 + 6/7 = 3/2 * x
=> (5*7+12*6) / (12*7) = 3/2 * x
=> 107/84 = 3/2 * x
=> 107 * 2 / [84 * 3] = x
=> x = 107/126
Given 5/12 - 3/2 * x = -6/7
=> 5/12 + 6/7 = 3/2 * x
=> (5*7+12*6) / (12*7) = 3/2 * x
=> 107/84 = 3/2 * x
=> 107 * 2 / [84 * 3] = x
=> x = 107/126
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