Find four rational numbers lying between 3 7 and 5 7 . - Vidyadip

Question

Find four rational numbers lying between $\frac{3}{7}$ and $\frac{5}{7}.$

✓

Answer

n = 4 n + 1 = 4 + 1 = 5 $\frac{3}{7}=\frac{3}{7}\times\frac{5}{5}=\frac{15}{35}$
$\frac{5}{7}=\frac{5}{7}\times\frac{5}{5}=\frac{25}{35}$
Thus, rational numbers between $\frac{3}{7}$ and $\frac{5}{7}$ are $\frac{16}{35},\frac{17}{35},\frac{18}{35},\frac{19}{35}.$

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