
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 $1:8$. What is the ratio of $a$ to $c$?
A) $\frac{10}{3}$  
B) $\frac{12}{5}$  
C) $\frac{15}{2}$  
D) $\frac{20}{3}$

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