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Question

Write all proper fractions whose sum of numerator and denominator is $$12$$

Solution
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$$\dfrac{1}{11} , \dfrac{2}{10}, \dfrac{3}{9}, \dfrac{4}{9}, \dfrac{4}{8},\dfrac{5}{7}$$
$$\Rightarrow 1 + 11 = 12$$
$$\Rightarrow 2 + 10 = 12$$
$$\Rightarrow 3 + 9 = 12$$
$$\Rightarrow 4 + 8 = 12$$
$$\Rightarrow 5 + 7 = 12$$

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