Answer
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Step 1:I'll solve this problem step by step using the specified LaTeX formatting guidelines:
Step 2:: Identify the operation
The problem involves simplifying the ratio 56:24, which means dividing 56 by 24.
Step 3:: Find the greatest common factor (GCF)
GCF(56, 24) = 8
To simplify this fraction, we'll find the largest number that divides both 56 and 24 evenly.
Step 4:: Divide both numbers by the GCF
\frac{56}{8} : \frac{24}{8} = 7:3
Step 5:: Verify the simplification
3 \times 8 = 24
Let's check our work:
Final Answer
Key Insights: - The original ratio 56:24 can be reduced by dividing both numbers by their greatest common factor (8) - The simplified ratio preserves the proportional relationship of the original numbers - Always look for the largest common factor when simplifying ratios
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