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)

Question

UpStudy AI · Accepted Answer

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.

Karen will divide her garden into equal parts. She will plant corn
in of the garden. What is the fewest number of parts she can
divide her garden into? (4.NF.1)

Upstudy AI Solution

Answer

Solution

Beyond the Answer

Related Questions

Latest Arithmetic Questions

Karen will divide her garden into equal parts. She will plant corn in of the garden. What is the fewest number of parts she can divide her garden into? (4.NF.1)