Question

simplify:(4/3-(-3/2))+(-5÷30/12)+(-12/9×-27/16)
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Answer 1

Answer:

$( \frac{4}{3} - ( - \frac{3}{2} )) + ( \frac{ - 5}{ \frac{30}{12} } + \frac{ -12}{9} \times \frac{ - 27}{16} ) \\ =( \frac{4}{3} + \frac{3}{2} ) + (( - 5 \times \frac{12}{30} ) + ( \frac{ - 12}{9} \times \frac{ - 27}{16} )) \\ = \frac{8 + 9}{6} + (- 2) + ( - \frac{ - 3}{1} \times \frac{ - 3}{4} ) \\ = (\frac{17}{6} - 2) + \frac{9}{4} \\ = \frac{17 - 12}{6} + \frac{9}{4} \\ = \frac{5}{6} + \frac{9}{4} \\ = \frac{10 + 27}{12} \\ = \frac{37}{12} \\ = 3 \frac{1}{12}$