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Answer:
[tex]-3\frac{1}{2}<-3\frac{1}{3}[/tex]
Step-by-step explanation:
-3.5 means -(3 + [tex]\frac{1}{2}[/tex])
In other words, -3.5 = [tex]-3\frac{1}{2}[/tex]
When we draw two numbers [tex]-3\frac{1}{3}[/tex] and [tex]-3\frac{1}{2}[/tex] on a number line, [tex]-3\frac{1}{2}[/tex] comes first from left to right.
We know that all the numbers on a number line from left to right are in increasing order.
Therefore, [tex]-3\frac{1}{2}[/tex] is smaller than [tex]-3\frac{1}{3}[/tex].
[tex]-3\frac{1}{2}<-3\frac{1}{3}[/tex]
Lauren is not correct.