Question

“Order -2/3, -4/5, 8/15 and 3/5 from least to greatest”

Answer 1

Answer:
`\begin{gathered} \text{From least to greatest:} \\ (-4)/(5)<\text{ }(-2)/(3)<\text{ }(8)/(15)<(3)/(5)\text{ } \end{gathered}`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

`\begin{gathered} (-2)/(3),\text{ }(-4)/(5),\text{ }(8)/(15),\text{ }(3)/(5) \\ \text{The LCM of the denominator is 15} \\ \frac{-10,\text{ -12, 8, 9}}{15} \\ \text{Considering the values in the numerator, } \\ (-12)/(15)<\text{ }(-10)/(15)<\text{ }(8)/(15)<(9)/(15)\text{ } \\ \text{The right order(from least to greatest) for the corresponding} \\ \text{ numbers is:} \\ (-4)/(5)<\text{ }(-2)/(3)<\text{ }(8)/(15)<(3)/(5)\text{ } \end{gathered}`