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Question

Which is greater:
$$\dfrac {2}{7}$$ of $$\dfrac {3}{4}$$ or $$\dfrac {3}{5}$$ of $$\dfrac {5}{8}$$.


Solution

$$\dfrac {2}{7}$$ of $$\dfrac {3}{4}$$ or $$\dfrac {3}{5}$$ of $$\dfrac {5}{8}$$

$$\Rightarrow \dfrac {2}{7} \times \dfrac {3}{4}$$ or $$\dfrac {3}{5}\times \dfrac {5}{8}$$
$$\Rightarrow \dfrac {3}{14}$$ or $$\dfrac {3}{8}\Rightarrow \dfrac {3}{14} < \dfrac {3}{8}$$
Thus, $$\dfrac {3}{14}$$ of $$\dfrac {5}{8}$$ is greater.

Mathematics
NCERT
Standard VII

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