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Find five rational numbers between $$1$$ and $$2$$.
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## QuestionMathsClass 9

Find five rational numbers between $$1$$ and $$2$$.

$$\frac{7}{6}, \frac{4}{3}, \frac{3}{2}, \frac{5}{3}$$ and $$\frac{11}{6}$$.
4.6
4.6

## Solution

We have to find five rational numbers between $$1$$ and $$2$$.
So, we write $$1$$ and $$2$$ as rational numbers $$\frac{1}{1}$$ and $$\frac{2}{1}$$.
As the difference between the numerators is less than $$5$$ ( rational number to be found)
Therefore, we  multiplying numerator and denominator by $$6$$, so that difference between their  numerator become  is greater than $$5$$.
i.e.  $$\frac{1}{1}=\frac{1\times 6}{1\times 6}=\frac{6}{6}$$
and $$\frac{2}{1}=\frac{2\times 6}{1\times 6}=\frac{12}{6}$$.
Thus, five rational numbers between $$\frac{6}{6}$$ and $$\frac{12}{6}$$ are $$\frac{7}{6}, \frac{8}{6}, \frac{9}{6}, \frac{10}{6}$$ and $$\frac{11}{6}$$.
So, the five rational numbers between $$1$$ and $$2$$ are $$\frac{7}{6}, \frac{4}{3}, \frac{3}{2}, \frac{5}{3}$$ and $$\frac{11}{6}$$.