To find the length of each piece of cloth that Carlos cut from \( \frac{5}{12} \) of a yard, we need to divide \( \frac{5}{12} \) by 5 pieces.
We can perform the division as follows:
\[ \text{Length of each piece} = \frac{5}{12} \div 5 = \frac{5}{12} \times \frac{1}{5} \]
Now, we multiply the fractions:
\[ \frac{5 \times 1}{12 \times 5} = \frac{5}{60} \]
Next, we simplify \( \frac{5}{60} \):
\[ \frac{5}{60} = \frac{1}{12} \]
Thus, the length of each piece of cloth is \( \frac{1}{12} \) of a yard.
The final answer is:
\[ \frac{1}{12} \text{ of a yard} \]