
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 ascending order of the fractions $\frac{4}{3}, \frac{4}{5}, \frac{4}{6}, \frac{3}{5}, \frac{6}{5}$ and $\frac{2}{5}$?
(a) $\frac{2}{5}<\frac{3}{5}<\frac{4}{6}<\frac{4}{5}<\frac{6}{5}<\frac{4}{3}$
(d) $\frac{2}{5}<\frac{3}{5}<\frac{4}{5}<\frac{4}{6}<\frac{6}{5}<\frac{4}{3}$
(b) $\frac{4}{3}<\frac{4}{6}<\frac{2}{5}<\frac{3}{5}<\frac{4}{5}<\frac{6}{5}$
(e) $\frac{2}{5}<\frac{3}{5}<\frac{4}{5}<\frac{4}{3}<\frac{4}{6}<\frac{6}{5}$
(c) $\frac{2}{5}<\frac{3}{5}<\frac{4}{5}<\frac{4}{6}<\frac{4}{3}<\frac{6}{5}$

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