Find four rational numbers between

Question:

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

 

Solution:

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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