Evaluate:
37+−49−−117−79\dfrac{3}{7} + \dfrac{-4}{9} - \dfrac{-11}{7} - \dfrac{7}{9}73+9−4−7−11−97
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(37−−117)+(−49−79)=(3−(−11)7)+(−4−79)=(147)+(−119)=(21)+(−119)\Big(\dfrac{3}{7} - \dfrac{-11}{7}\Big) + \Big(\dfrac{-4}{9} - \dfrac{7}{9}\Big)\\[1em] =\Big(\dfrac{3 - (-11)}{7}\Big) + \Big(\dfrac{-4 - 7}{9}\Big)\\[1em] =\Big(\dfrac{14}{7}\Big) + \Big(\dfrac{-11}{9}\Big)\\[1em] =\Big(\dfrac{2}{1}\Big) + \Big(\dfrac{-11}{9}\Big)(73−7−11)+(9−4−97)=(73−(−11))+(9−4−7)=(714)+(9−11)=(12)+(9−11)
LCM of 1 and 9 is 3 x 3 = 9
=2×91×9+−11×19×1=189+−119=18+(−11)9=79=\dfrac{2 \times 9}{1 \times 9} + \dfrac{-11 \times 1}{9 \times 1}\\[1em] =\dfrac{18}{9} + \dfrac{-11}{9}\\[1em] =\dfrac{18 + (-11)}{9}\\[1em] =\dfrac{7}{9}=1×92×9+9×1−11×1=918+9−11=918+(−11)=97
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