Find a rational number between

Question:

Find a rational number between $\frac{1}{4}$ and $\frac{1}{3}$.

Solution:

Required number $=\frac{1}{2}\left(\frac{1}{4}+\frac{1}{3}\right)$

$=\frac{1}{2}\left(\frac{3+4}{12}\right)$

$=\left(\frac{1}{2} \times \frac{7}{12}\right)$

$=\frac{7}{24}$

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