(i) \(\frac{-1}{3}\)is greater than -1 and less than 0.
Therefore, it lies between -1 and 0
(ii) \(\frac{-3}{4}\)is greater than -1 and less than 0.
Therefore, it lies between -1 and 0
(iii) \(-1\frac{2}{3} = -\frac{(3\times1)+2}{3} = -\frac{3+2}{3}= \frac{-5}{3}\)
\(\frac{-5}{3}\)is greater than -2 and less than -1`.
Therefore, it lies between -2 and -1
(iv) \(-3\frac{1}{7} = -\frac{(7\times3)+1}{3} = -\frac{21+1}{3}= \frac{-22}{3}\)
\(\frac{-22}{3}\)is greater than -8 and less than -7`.
Therefore, it lies between -8 and -7
(v) \(-4\frac{3}{5} = -\frac{(5\times4)+3}{5} = -\frac{20+3}{5}= \frac{-23}{5}\)
\(\frac{-23}{5}\)is greater than -5 and less than -4.
Therefore, it lies between -5 and -4
(vi) \(-2\frac{5}{6} = -\frac{(6\times2)+5}{6} = -\frac{12+5}{6}= \frac{-17}{6}\)
\(\frac{-17}{6}\)is greater than -3 and less than -2.
Therefore, it lies between -3 and -2
(vii) The number line representation of -3 is
(viii) \(-2\frac{7}{8} = -\frac{(8\times2)+7}{8} = -\frac{16+7}{8}= \frac{-23}{8}\)
\(\frac{-23}{8}\)is greater than -3 and less than -2.
Therefore, it lies between -3 and -2