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Question

Find the sum:
$$\cfrac{-9}{10}+\cfrac{22}{15}$$

Solution
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$$\cfrac { -9 }{ 10 } +\cfrac { 22 }{ 15 } =\cfrac { -9\times 3 }{ 10\times 3 } +\cfrac { 22\times 2 }{ 15\times 2 } =\cfrac { -27 }{ 30 } +\cfrac { 44 }{ 30 } =\cfrac { -27+44 }{ 30 } =\cfrac { 17 }{ 30 } $$
L.C.M of $$10$$ and $$15$$ is $$30$$

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