Question

[([tex][( \frac{7}{15} + \frac{1}{3} - \frac{1}{5} ) * \frac{5}{4} +( \frac{1}{2} - \frac{7}{4})/ \frac{5}{12}]* \frac{2}{7} = 

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Answer 1

     
$[( \frac{7}{15} + \frac{1}{3} - \frac{1}{5} ) * \frac{5}{4} +( \frac{1}{2} - \frac{7}{4})/ \frac{5}{12}]* \frac{2}{7}= \\ \\ =[( \frac{7}{15} + \frac{5}{15} - \frac{3}{15} ) * \frac{5}{4} +( \frac{2}{4} - \frac{7}{4})* \frac{12}{5}]* \frac{2}{7}= \\ \\ =[ \frac{9}{15} * \frac{5}{4} +( \frac{-5}{4})* \frac{12}{5}]* \frac{2}{7}= \\ \\ =[ \frac{9}{15} * \frac{5}{4} -\frac{5}{4}* \frac{12}{5}]* \frac{2}{7}= \\ \\ =[ \frac{3}{4} -\frac{12}{4}]* \frac{2}{7}=- \frac{9}{4} * \frac{2}{7}= - \frac{9}{14}$

Answer 2

( \frac{7}{15} + \frac{1}{3} - \frac{1}{5} ) * \frac{5}{4} +( \frac{1}{2} - \frac{7}{4})/ \frac{5}{12}]* \frac{2}{7}= \\ \\ ( \frac{7}{15} + \frac{1} {3} - \frac{1}{5} )= \frac{7+5-3}{15}= \frac{9}{15}= \frac{3}{5} \\ \\ \frac{3}{5}* \frac{5}{4} = \frac{3}{4} \\ \\ ( \frac{1}{2} - \frac{7}{4})/ \frac{5}{12}= \frac{2-7}{4}/ \frac{5}{12}= -\frac{5}{4}/ \frac{5}{12}= -\frac{5}{4}* \frac{12}{5}= -3 \\ \\ \frac{3}{4}-3= \frac{3-12}{4}= \\ \\ -\frac{9}{4}*\frac{2}{7}=-\frac{9}{14}