Find three rational numbers between: 1 4 and 1 5 - Vidyadip

Question

Find three rational numbers between: $\frac{1}{4}$ and $\frac{1}{5}$

✓

Answer

$\frac{1}{4}=\frac{1}{4}\times\frac{20}{20}=\frac{20}{80}$ and $\frac{1}{5}=\frac{1}{5}\times\frac{16}{16}=\frac{16}{80}$ Now, $\sqrt{2}\times\sqrt{3}\frac{18}{80}\Big(\frac{9}{40}\Big),\frac{19}{80}$ are three rational numbers lying between $\frac{1}{4}$ and $\frac{1}{5}.$

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