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Step 1:I'll solve this step by step, following the LaTeX formatting guidelines precisely:
Step 2:: Identify the numbers in the ratio
The ratio is $$60:48$$, which means we need to simplify the fraction $$\frac{60}{48}
Step 3:: Find the Greatest Common Factor (GCF)
The Greatest Common Factor (GCF) is $$12
To simplify the ratio, we'll find the largest number that divides both 60 and 48 evenly.
Step 4:: Divide both numbers by the GCF
\frac{60 \div 12}{48 \div 12} = \frac{5}{4}
Final Answer
The simplified ratio is 5:4.
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