Respuesta :
Answer:[tex]\begin{gathered} \text{From least to greatest:} \\ \frac{-4}{5}<\text{ }\frac{-2}{3}<\text{ }\frac{8}{15}<\frac{3}{5}\text{ } \end{gathered}[/tex]Explanations:
The given sequence is -2/3, -4/5, 8/15 and 3/5.
To order it from the least to the greatest, we have to ensure that all the numbers in the sequence have a common denominator.
The LCM of the denominators (3, 5, 15 and 5) is 15
[tex]\begin{gathered} \frac{-2}{3},\text{ }\frac{-4}{5},\text{ }\frac{8}{15},\text{ }\frac{3}{5} \\ \text{The LCM of the denominator is 15} \\ \frac{-10,\text{ -12, 8, 9}}{15} \\ \text{Considering the values in the numerator, } \\ \frac{-12}{15}<\text{ }\frac{-10}{15}<\text{ }\frac{8}{15}<\frac{9}{15}\text{ } \\ \text{The right order(from least to greatest) for the corresponding} \\ \text{ numbers is:} \\ \frac{-4}{5}<\text{ }\frac{-2}{3}<\text{ }\frac{8}{15}<\frac{3}{5}\text{ } \end{gathered}[/tex]
