15. Karen will divide her garden into equal parts. She will plant corn in $$ \frac{8}{12} $$ of the garden. What is the fewest number of parts she can divide her garden into? (4.NF.1)

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To determine the fewest number of equal parts Karen can divide her garden into so that $$ \frac{8}{12} $$ of it is allocated for planting corn, follow these steps:

1. **Simplify the Fraction:**
   
   First, simplify $$ \frac{8}{12} $$ to its lowest terms.
   
   $$
   \frac{8}{12} = \frac{8 \div 4}{12 \div 4} = \frac{2}{3}
   $$
   
   So, $$ \frac{8}{12} $$ simplifies to $$ \frac{2}{3} $$.

2. **Determine the Fewest Number of Parts:**
   
   Karen wants to divide her garden into **equal** parts where $$ \frac{2}{3} $$ of the garden will be planted with corn. To ensure that $$ \frac{2}{3} $$ corresponds to a whole number of parts, the total number of parts must be a multiple of the denominator of the simplified fraction (which is 3 in this case).
   
   The smallest multiple of 3 is **3** itself.

3. **Conclusion:**
   
   Therefore, Karen should divide her garden into **3 equal parts**. Planting corn in $$ \frac{2}{3} $$ of the garden means she will plant corn in **2 out of the 3** parts.

**Answer:**  
Karen can divide her garden into **3 equal parts**.
Karen can divide her garden into 3 equal parts.

15. Karen will divide her garden into equal parts. She will plant corn in \( \frac{8}{12} \) of the garden. What is the fewest number of parts she can divide her garden into? (4.NF.1)

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