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Question
How quickly can you do this? Fill appropriate sign. $$('<', '=', '>')$$ $$\dfrac {3}{4}\square \dfrac {7}{8}$$
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Solution
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$$\dfrac {3}{4} = \dfrac {3\times 2}{4\times 2} = \dfrac {6}{8}$$ As the denominators of $$\dfrac {6}{8}$$ and $$\dfrac {7}{8}$$ are same, the fraction having the greater numerator will be greater. Hence, $$\dfrac {3}{4} < \dfrac {7}{8}$$.
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