Question
Find five rational numbers between $\frac{3}{5}$ and $\frac{4}{5}.$
✓
Answer
Given that to find out five rational numbers between $\frac{3}{5}$ and $\frac{4}{5}$ To find 5 rational numbers between $\frac{3}{5}$ and $\frac{4}{5}$ with $\frac{6}{6}$ We have,$\frac{3}{5}\times\frac{6}{6}=\frac{18}{30}$
$\frac{4}{5}\times\frac{6}{6}=\frac{24}{30}$
We know 18 < 19 < 20 < 21 < 22 < 23 < 24$\frac{18}{30}<\frac{19}{30}<\frac{20}{30}<\frac{21}{30}<\frac{22}{30}<\frac{23}{30}<\frac{24}{30}$
$\frac{3}{5}<\frac{19}{30}<\frac{20}{30}<\frac{21}{30}<\frac{22}{30}<\frac{23}{30}<\frac{4}{5}$
Therefore, 5 rational numbers between $\frac{3}{5}$ and $\frac{4}{5}$ are $\frac{19}{30},\frac{20}{30},\frac{21}{30},\frac{22}{30},\frac{23}{30}$
$\frac{4}{5}\times\frac{6}{6}=\frac{24}{30}$
We know 18 < 19 < 20 < 21 < 22 < 23 < 24$\frac{18}{30}<\frac{19}{30}<\frac{20}{30}<\frac{21}{30}<\frac{22}{30}<\frac{23}{30}<\frac{24}{30}$
$\frac{3}{5}<\frac{19}{30}<\frac{20}{30}<\frac{21}{30}<\frac{22}{30}<\frac{23}{30}<\frac{4}{5}$
Therefore, 5 rational numbers between $\frac{3}{5}$ and $\frac{4}{5}$ are $\frac{19}{30},\frac{20}{30},\frac{21}{30},\frac{22}{30},\frac{23}{30}$
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