4 (me Use Stracture kelko bakes two sarne-sized pies to sell at a bake sale. She sells $$ \frac{6}{6} $$ of the blueberry pie. She sells $$ \frac{3}{3} $$ of the apple pie. Are the two fractions equivalent? Draw a visual model to support your ansv

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UpStudy AI · Accepted Answer

Yes, the two fractions $$ \frac{6}{6} $$ and $$ \frac{3}{3} $$ are equivalent. Both fractions simplify to 1, which means that the entire pie was sold in each case.

### Explanation:

- **Blueberry Pie:**  
  $$ \frac{6}{6} = 1 $$  
  This means Kelko sold all 6 out of 6 pieces of the blueberry pie.

- **Apple Pie:**  
  $$ \frac{3}{3} = 1 $$  
  This means Kelko sold all 3 out of 3 pieces of the apple pie.

Since both fractions simplify to 1, they are equivalent in representing the whole pie being sold.

### Visual Model:

Imagine two circles representing the pies.

1. **Blueberry Pie:**
   - **Divided into 6 equal parts.**
   - **All 6 parts are shaded** to show that the entire pie was sold.

2. **Apple Pie:**
   - **Divided into 3 equal parts.**
   - **All 3 parts are shaded** to show that the entire pie was sold.

#### Blueberry Pie ($$ \frac{6}{6} $$):
```
   _______
  /       \
 / 6 parts \
 \_______/
```
*(All 6 parts shaded)*

#### Apple Pie ($$ \frac{3}{3} $$):
```
   _______
  /       \
 / 3 parts \
 \_______/
```
*(All 3 parts shaded)*

Both pies are completely shaded, indicating that 100% of each pie was sold. Even though the number of parts differs, the entire pie being sold makes the fractions equivalent.

### Simplified:

- $$ \frac{6}{6} = 1 $$
- $$ \frac{3}{3} = 1 $$

**Therefore, $$ \frac{6}{6} = \frac{3}{3} $$.**
Yes, both fractions $$ \frac{6}{6} $$ and $$ \frac{3}{3} $$ are equivalent because they both equal 1. This means Kelko sold all of each pie.

4 (me Use Stracture kelko bakes two sarne-sized pies to sell at a bake sale. She sells \( \frac{6}{6} \) of the blueberry pie. She sells \( \frac{3}{3} \) of the apple pie. Are the two fractions equivalent? Draw a visual model to support your ansv

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