Respuesta :
Answer:
From greatest to least, the order is:
[tex]3.8,\ 3\frac{4}{9},\ 3\frac{6}{25}[/tex]
Step-by-step explanation:
Given
[tex]Closest\ Benchmark \to Number[/tex]
[tex]3\frac{6}{25} \to 3[/tex]
[tex]3\frac{4}{9} \to 4[/tex]
Required
Order [tex]3\frac{6}{25}, 3.8, 3\frac{4}{9}[/tex] from greatest to least
From the given parameters, we have:
[tex]3\frac{6}{25} \to 3[/tex]
[tex]3\frac{4}{9} \to 4[/tex]
This implies that:
[tex]3\frac{4}{9}\ >\ 3\frac{6}{25}[/tex] --- we know this from the nearest benchmark
Convert [tex]3\frac{4}{9}[/tex] to decimal
[tex]3\frac{4}{9} = 3.44[/tex]
By comparison;
[tex]3.8 >\ 3\frac{4}{9}[/tex]
Hence, the list is:
[tex]3.8,\ 3\frac{4}{9},\ 3\frac{6}{25}[/tex]