
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) \(\frac{75}{16}\)
B) \(\frac{60}{11}\)
C) \(\frac{50}{13}\)
D) \(\frac{100}{21}\)

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