Question

put these numbers in order from greatest to least.\
\\(\frac{28}{35}\\) \\(\frac{2}{5}\\) \\(\frac{19}{38}\\) \\(-9\\)

Explanation:

Step1: Simplify each fraction

$\frac{28}{35} = \frac{4}{5} = 0.8$, $\frac{2}{5} = 0.4$, $\frac{19}{38} = \frac{1}{2} = 0.5$, $-9 = -9$

Step2: Compare decimal values

$0.8 > 0.5 > 0.4 > -9$

Step3: Map back to original numbers

Correspond the decimals to their original fraction/number forms.

Answer:

$\frac{28}{35}$, $\frac{19}{38}$, $\frac{2}{5}$, $-9$