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Step 1:I'll solve this step-by-step using the specified LaTeX formatting guidelines:
Step 2:: Identify the given ratio
The original ratio is $$81:27
Step 3:: Find the greatest common factor (GCF)
- The greatest common factor is $$27
To simplify the ratio, we need to find the largest number that divides both 81 and 27 evenly.
Step 4:: Divide both numbers by the GCF
- $$81 \div 27 = 3
- 27 \div 27 = 1
Step 5:: Write the simplified ratio
The simplified ratio is $$3:1
Final Answer
3:1
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