
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
A rectangular floor pattern consists of 14 black and 21 white square tiles in a pattern that forms a 5 by 7 rectangle. A border of white tiles, one tile wide, is added around the original rectangle. What is the ratio of black tiles to white tiles in the new extended pattern?
**A)** $\frac{2}{7}$
**B)** $\frac{3}{7}$
**C)** $\frac{4}{7}$
**D)** $\frac{5}{7}$
**E)** $\frac{7}{2}$

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