
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
During the 2012 Math Olympics, Team Germany won 23 out of 150 medals. In the same event, Team Japan won 27 out of 150 medals. Which one of the following fractions is closest to the fraction of the total medals won by Team Germany and which is closest to Team Japan?
$$
\frac{1}{5} \qquad \frac{1}{6} \qquad \frac{1}{7} \qquad \frac{1}{8} \qquad \frac{1}{9}
$$

Present the answer in LaTex format: \boxed{Your answer}
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