(i) \(\frac{1}{3}\)is greater than 0 and less than 1
Therefore, it lies between 0 and 1
(ii) \(\frac{2}{7}\)is greater than 0 and less than 1.
Therefore, it lies between 0 and 1
(iii) \(3\frac{3}{4}
\) = \(\frac{(4\times1)+3}{4}\) = \(\frac{4+3}{4} = \frac{7}{4}\)
\(\frac{7}{4}\)is greater than 1 and less than 2.
Therefore, it lies between 1 and 2
(iv) \(2\frac{2}{5} = \frac{(5\times2+)+2}{5} = \frac{10+2}{5} =\frac{12}{5}\)
\(\frac{12}{5}\)is greater than 2 and less than 3.
Therefore, it lies between 2 and 3.
(v) \(3\frac{1}{2} = \frac{(2\times3)+1}{2} = \frac{6+1}{2} = \frac{7}{2}\)
\(\frac{7}{2}\)is greater than 3 and less than 4.
Therefore, it lies between 3 and 4.
(vi) \(5\frac{5}{7} = \frac{(7\times5)+5}{7} = \frac{35+5}{7} = \frac{40}{7}\)
\(\frac{40}{7}\)is greater than 5 and less than 6.
Therefore, it lies between 5 and 6.
(vii) \(4\frac{2}{3} = \frac{(3\times4)+2}{3} = \frac{12+2}{3} = \frac{14}{3}\)
\(\frac{14}{3}\)is greater than 4 and less than 5.
(viii) The number line representation of 8 is
