Pamela bought a piece of rope that was $6 \frac{3}{10}$ meters long, which is the same as 6.3 meters. She then cut the rope into 7 equal pieces.

To find the length of each piece, we divide the total length of the rope by the number of pieces:

$\text{Length of each piece} = \frac{6.3}{7}$

Now, let's divide:

$\frac{6.3}{7} = 0.9 \text{ meters}$

Thus, each piece of rope is 0.9 meters long.

Would you like more details on the division or any clarifications?

Here are 5 related questions you might find helpful:

1. How would the result change if Pamela cut the rope into 5 pieces instead?
2. What would be the length of each piece if the rope was 9.4 meters long and she cut it into 7 pieces?
3. If Pamela needs pieces that are 0.7 meters long, how many pieces can she cut from the 6.3-meter rope?
4. How much rope would be left over if Pamela cut 8 pieces of 0.75 meters from her 6.3-meter rope?
5. How can we express $6 \frac{3}{10}$ as an improper fraction and solve the problem using fractions?

Tip: When dividing decimals, you can multiply both the numerator and denominator by 10 to make it easier to work with whole numbers.