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Step 1:I'll solve this step by step, following the LaTeX formatting guidelines precisely:
Step 2:: Identify the given ratio
The original ratio is $$54:12
Step 3:: Find the greatest common factor (GCF)
The greatest common factor is $$2 \times 3 = 6
To simplify the ratio, we need to find the largest number that divides both 54 and 12 evenly. Let's factor each number:
Step 4:: Divide both numbers by the GCF
\frac{54}{6} : \frac{12}{6}
Step 5:: Simplify
9:2
Final Answer
Verification: - Original ratio: 54:12 - Simplified ratio: 9:2 - \frac{54}{12} = \frac{9}{2} = 4.5, confirming the equivalence
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