Respuesta :

The answer is:

1/5, 0.4, 1/2, 0.75

Just turn the fractions into decimal and compare. If it helped you, plz write comments, rank, thanks, and plz give a brainiest answer. :-)

Answer:

[tex]\frac{1}{5} < 0.4 < \frac{1}{2} < 0.75[/tex]

Step-by-step explanation:

Given numbers,

0.75, [tex]\frac{1}{2}[/tex], 0.4, [tex]\frac{1}{5}[/tex]

[tex]=\frac{75}{100},\frac{1}{2}, \frac{4}{10}, \frac{1}{5}[/tex]

[tex]=\frac{3}{4},\frac{1}{2}, \frac{2}{5}, \frac{1}{5}[/tex]

∵ LCM(2, 4, 5) = 20

[tex]=\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}[/tex]

[tex]=\frac{15}{20}, \frac{10}{20},\frac{8}{20},\frac{4}{20}[/tex]

∵ 4 < 8 < 10 < 15,

[tex]\implies \frac{4}{20} < \frac{8}{20}<\frac{10}{20}<\frac{15}{20}[/tex]

[tex]\implies \frac{1}{5} < 0.4 < \frac{1}{2} < 0.75[/tex]

Which is the required order.

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