Which area model correctly represents the expression 2/3(1/4+3/5)

1 answer

The area model that correctly represents the expression (2/3)(1/4+3/5) is:

```
_______________
| | |
| 1/4 | 3/5 |
| | |
|_______|_______|
| |
| 2/3 |
| |
|_______________|

```

In this model, the rectangle on the left represents 1/4, the rectangle on the right represents 3/5, and the larger rectangle represents 2/3. The area of the larger rectangle is divided into two parts - one part represents 1/4 and the other part represents 3/5.