
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 ratio of \( a \) to \( b \) is \( 5:4 \), the ratio of \( c \) to \( d \) is \( 4:3 \), and the ratio of \( d \) to \( b \) is \( 1:5 \). What is the ratio of \( a \) to \( c \)?
A) \( \frac{15}{4} \)
B) \( \frac{75}{16} \)
C) \( \frac{20}{3} \)
D) \( \frac{25}{6} \)

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