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Question

Evaluate :
$$ \dfrac{5}{9} + \dfrac{-7}{6} $$

Solution
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$$ \dfrac{5}{9} + \dfrac{-7}{6} $$
$$\dfrac{5}{9} + \dfrac{-7}{6} Taking L. C.M $$
2 9 , 6
3 9 3
3 3 1
1 , 1
$$ \therefore LCM of 9 and 6 = 2 \times 3 \times 3 = 18 $$
$$ \dfrac{5 \times 2}{9 \times2} - \dfrac{7 \times 3}{6 \times 3} $$
($$\therefore LCM of 9 and 6 = 18$$)
$$ = \dfrac{10 - 21}{18} = \dfrac{-11}{8}$$

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