Question
Given that, $\frac{\text{P}}{\text{q}}$ and $\frac{\text{r}}{\text{s}}$ are two rational numbers with different denominators and both of them are in standard form. To compare these rational numbers, we say that. $\frac{\text{P}}{\text{q}}=\frac{\text{r}}{\text{s}},$ if ______ = ____.

Answer

Given, $\frac{\text{P}}{\text{q}}=\frac{\text{r}}{\text{s}}$ $\Rightarrow\text{p}\times\text{s}= \text{e}\times\text{q}$ [by cross-multiplication]

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