
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
The number \( a \) is the \( m \)-th part of the sum of the numbers \( b \) and \( c \), and the number \( b \) is the \( n \)-th part of the sum of the numbers \( c \) and \( a \). What fraction of the sum of the numbers \( a \) and \( b \) is the number \( c \)?

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