
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
What is the correct ordering of the three numbers $\frac{6}{29}$, $\frac{10}{31}$, and $\frac{8}{25}$, in increasing order?
A) $\frac{6}{29} < \frac{10}{31} < \frac{8}{25}$
B) $\frac{8}{25} < \frac{10}{31} < \frac{6}{29}$
C) $\frac{10}{31} < \frac{6}{29} < \frac{8}{25}$
D) $\frac{10}{31} < \frac{8}{25} < $\frac{6}{29}$
E) $\frac{6}{29} < \frac{8}{25} < \frac{10}{31}$

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