The length of a green tape is $\frac{6}{7}$ of the length of a red tape. The length of the red tape is 14m. We need to find the length of the green tape.

1. Problem Description

The length of a green tape is $\frac{6}{7}$ of the length of a red tape. The length of the red tape is 14m. We need to find the length of the green tape.

2. Solution Steps

The length of the green tape is $\frac{6}{7}$ of the length of the red tape.

The length of the red tape is 14m.

Therefore, the length of the green tape is $\frac{6}{7} \times 14$m.

$$$$

\frac{6}{7} \times 14 = \frac{6 \times 14}{7} = \frac{6 \times 2 \times 7}{7} = 6 \times 2 = 12

$$$$

So, the length of the green tape is 12m.

3. Final Answer

12 m