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Step 1:I'll solve this step by step using the specified LaTeX formatting guidelines:
Step 2:: Understand the Problem
We need to find five different fractions that are equivalent to $$\frac{4}{12}$$.
Step 3:: Simplify the Original Fraction
First, let's simplify $$\frac{4}{12}$$ by dividing both numerator and denominator by their greatest common factor (GCF).
\frac{4}{12} = \frac{1}{3} (dividing both 4 and 12 by 4)
Step 4:: Generate Equivalent Fractions
To create equivalent fractions, we'll multiply both the numerator and denominator by different whole numbers:
Step 5:\frac{2}{6} (multiply top and bottom by 2)
2. $$\frac{3}{9}$$ (multiply top and bottom by 3)
Step 6:\frac{4}{12} (original fraction)
4. $$\frac{5}{15}$$ (multiply top and bottom by 5)
Step 7:\frac{6}{18} (multiply top and bottom by 6)
Final Answer
1. \frac{2}{6} 2. \frac{3}{9} 3. \frac{4}{12} 4. \frac{5}{15} 5. \frac{6}{18}
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