Question

Which best represents the addition of the two gray parts and the striped part in the whole rectangle?
1 + 2 = 3
1/3 + 2/3 = 1
3/6 + 3/6 = 1
1/6 + 2/6 = 3/6

Answer 1

To determine which equation best represents the addition of the two gray parts and the striped part in a whole rectangle, we first need to understand how the parts relate to each other in terms of their fractions of the whole rectangle.

1. **1 + 2 = 3**: This equation represents whole numbers, which isn't what we want since we are dealing with fractions.

2. **1/3 + 2/3 = 1**: This equation indicates that when you add 1/3 of the rectangle and 2/3 of the rectangle, you get a whole (1) rectangle. If the gray parts are 1/3 and the striped part is 2/3, this would be correct.

3. **3/6 + 3/6 = 1**: This equation also would represent adding two equal parts (which may or may not reflect the gray and striped parts), summing up to a whole, but it doesn’t specify individual parts and their relationships clearly.

4. **1/6 + 2/6 = 3/6**: This indicates that if you have a smaller part (1/6) and another part (2/6), you get a combined part (3/6), which does not effectively represent adding up two parts to equal the whole.

Thus, the equation **1/3 + 2/3 = 1** is the best representation if it accurately reflects the fractions of the parts in your rectangle. It clearly shows how the parts add to form a whole. If the gray parts equal 1/3 and the striped part equals 2/3, then this equation would be the correct representation.