Question

if x=4/9,y=-7/12,and z=-2/3,then verify that x-(y-z)=(x-y)-z​

Answer 1

Answer:

$x - (y - z) = (x - y) - z \\ \frac{4}{9} - ( \frac{ - 7}{12} - \frac{ - 2}{3} ) = ( \frac{4}{9} - \frac{ - 7}{12} ) - \frac{ - 2}{3} \\ \frac{4}{9} - ( \frac{ - 7 }{12} + \frac{2}{3} ) = ( \frac{4}{9} + \frac{7}{12} ) + \frac{2}{3} \\ \frac{4}{9} - \frac{( - 7 + 8)}{12} = \frac{32 + 42}{72} + \frac{2}{3} \\ \frac{4}{9} - \frac{1}{12} = \frac{74}{72} + \frac{2}{3} \\ \frac{32 - 6}{72} = \frac{74 + 48}{72} \\ \frac{26}{72} = \frac{122}{72}$

Answer 2

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