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Find five rational numbers between $$\frac {3}{5}$$ and $$\frac{4}{5}.$$
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## QuestionMathsClass 9

Find five rational numbers between $$\frac {3}{5}$$ and $$\frac{4}{5}.$$

$$\frac{19}{30}, \frac{20}{30}, \frac{21}{30}, \frac{22}{30}, \frac{23}{30}.$$
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## Solution

We have to find five rational numbers between $$\frac 35$$and $$\frac 45$$
To get five rational numbers between two given rational numbers we will multiply and divide them by $$6$$.
So, $$\frac{3}{5}=\frac{3}{5} \times \frac{6}{6}=\frac{18}{30}$$
$$\frac{4}{5}=\frac{4}{5} \times \frac{6}{6}=\frac{24}{30}$$
Hence, five rational numbers between $$\frac 35\$$and $$\frac 45$$ are $$\frac{19}{30}, \frac{20}{30}, \frac{21}{30}, \frac{22}{30}, \frac{23}{30}.$$
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