Gujarat BoardEnglish MediumSTD 9MathsNumber Systems1 Mark
Question
Find three rational numbers between: $\frac{5}{7}$ and $\frac{6}{7}$
✓
Answer
$\frac{5}{7}=\frac{5}{7}\times\frac{10}{10}=\frac{50}{70}$and $\frac{6}{7}=\frac{6}{7}\times\frac{10}{10}=\frac{60}{70}$ $\Rightarrow\frac{51}{70}, \frac{52}{70}, \frac{53}{70}$ are three rational numbers lying and between $\frac{50}{70}$ and $\frac{60}{70}$ and therefore lie between $\frac{5}{7}$ and $\frac{6}{7}.$
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