Answer:
\(\frac{1}{5} < 0.4 < \frac{1}{2} < 0.75\)
Step-by-step explanation:
Given numbers,
0.75, \(\frac{1}{2}\), 0.4, \(\frac{1}{5}\)
\(=\frac{75}{100},\frac{1}{2}, \frac{4}{10}, \frac{1}{5}\)
\(=\frac{3}{4},\frac{1}{2}, \frac{2}{5}, \frac{1}{5}\)
∵ LCM(2, 4, 5) = 20
\(=\frac{3\times 5}{4\times 5},\frac{1\times 10}{2\times 10}, \frac{2\times 4}{5\times 4}, \frac{1\times 4}{5\times 4}\)
\(=\frac{15}{20}, \frac{10}{20},\frac{8}{20},\frac{4}{20}\)
∵ 4 < 8 < 10 < 15,
\(\implies \frac{4}{20} < \frac{8}{20}<\frac{10}{20}<\frac{15}{20}\)
\(\implies \frac{1}{5} < 0.4 < \frac{1}{2} < 0.75\)
Which is the required order.
