Evaluate:
−89+−512\dfrac{-8}{9} + \dfrac{-5}{12}9−8+12−5
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−89+−512\dfrac{-8}{9} + \dfrac{-5}{12} \\[1em]9−8+12−5
LCM of 9 and 12 is 2 x 2 x 3 x 3 = 36
−8×49×4+−5×312×3=−3236+−1536=−32+(−15)36=−4736\dfrac{-8 \times 4}{9 \times 4} + \dfrac{-5 \times 3}{12 \times 3} \\[1em] =\dfrac{-32}{36} + \dfrac{-15}{36} \\[1em] =\dfrac{-32 + (-15)}{36} \\[1em] =\dfrac{-47}{36}9×4−8×4+12×3−5×3=36−32+36−15=36−32+(−15)=36−47
∴ −89\dfrac{-8}{9}9−8 + −512\dfrac{-5}{12}12−5 = −4736\dfrac{-47}{36}36−47
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