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1/8 ___ 2/16 ___ 4/24


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Answer:

[tex]\frac{1}{8} = \frac{2}{16} < \frac{4}{24}[/tex]

Step-by-step explanation:

Since [tex]\frac{1}{8}[/tex] is already simplified, we do not need to change it in any way. Comparing it with [tex]\frac{2}{16}[/tex], which after simplifying is [tex]\frac{1}{8}[/tex], we can see that they are the same. Therefore, [tex]\frac{1}{8} = \frac{2}{16}[/tex].

Now. we compare [tex]\frac{2}{16}[/tex] with [tex]\frac{4}{24}[/tex]. We have already established that [tex]\frac{2}{16}[/tex] is [tex]\frac{1}{8}[/tex], so all we have to do is to simplify [tex]\frac{4}{24}[/tex] and compare it with [tex]\frac{1}{8}[/tex]. Simplifying [tex]\frac{4}{24}[/tex], we get [tex]\frac{1}{6}[/tex], which is larger than [tex]\frac{1}{8}[/tex]. Therefore, [tex]\frac{2}{16} < \frac{4}{24}[/tex].

Hope this helped!