
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 of students in Grade 6 Class 1 and Class 2 are equal. The ratio of boys to girls in Class 1 is $\frac{2}{3}$, and in Class 2, the ratio of boys to girls is $\frac{4}{5}$. The total number of boys in these two classes is what fraction of the total number of girls? (Fill in the fraction)

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