
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
Given the sets of fractions $S_1$ and $S_2$ defined as $S_1$ includes fractions from $\dfrac{1}{10}$ up to $\dfrac{9}{10}$ incrementing by $1$ in the numerators, and $S_2$ is created by the constant $\dfrac{20}{10}$ repeated four times, calculate the sum of all fractions from $S_1$ and $S_2$.

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