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Question

Evaluate :
$$ \dfrac{-5}{9} + \dfrac{-7}{12} + \dfrac{11}{18} $$

Solution
Verified by Toppr

$$ \dfrac{-5}{9} + \dfrac{-7}{12} + \dfrac{11}{18} $$
Here LCM of $$9 , 12 $$ and $$18 $$ is $$36$$
So we get
$$ = \dfrac{-5 \times 4}{9 \times -4} - \dfrac{7 \times 3}{12 \times 3} + \dfrac{11 \times 2}{18 \times 2} $$
By further calculation
$$ = \dfrac{-20 - 21 + 22}{36} $$
So we get
$$ = \dfrac{-41 + 22}{36} $$
$$ = \dfrac{-19}{36} $$

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