Answer:
![-4(4)/(9) < √(16) < 4.3 < (61)/(14)](https://img.qammunity.org/2022/formulas/mathematics/high-school/mmkyodxigs6j4q8urp1m6lt8n77njpwg5q.png)
Explanation:
First off, we can simplify
to around
and simplify
to
.
We know that
is the smallest number, since it's the only negative, so it has to be on the far left.
Out of the remaining three, we then know that
, or
is the next smallest.
Finally,
(repeating) is smaller than
, or
.
This gives us the order of numbers:
![-4(4)/(9) < √(16) < 4.3 < (61)/(14)](https://img.qammunity.org/2022/formulas/mathematics/high-school/mmkyodxigs6j4q8urp1m6lt8n77njpwg5q.png)