
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
Three simplest proper fractions with the same numerator, when converted to mixed numbers, are respectively $\mathrm{a} \frac{2}{3}, b \frac{3}{4}, c \frac{3}{5}$, where $a, b$, and $c$ are natural numbers not exceeding 10. Calculate $(2a + b) \div c = \qquad$.

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