Gujarat BoardEnglish MediumSTD 7MATHSRational Numbers1 Mark
Question
Two rationales with different numerators can never be equal.
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Answer
False. Solution: Let $\frac{2}{3}$ and $\frac{4}{6}$ be two rational numbers, then $\frac{4}{6}$ can be written as $\frac{2}{3}$ in its lowest form. $\because\frac{4}{6}=\frac{4+2}{6+2}=\frac{4}{2}+\frac{6}{2}=\frac{2}{3}$ Hence, two rational numbers with different numerators can be equal.
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