1. in a smooth, elegant, and attractive way
2. in a polite and dignified manner, especially when dealing with difficulty

Examples

• The dancer moved gracefully across the stage.
• The swan glided gracefully across the lake.
• She gracefully accepted the criticism and made improvements.
• He gracefully declined the invitation without offending anyone.
• The gymnast landed gracefully after her routine.
• The elderly woman gracefully handled the difficult situation.
• The cat leaped gracefully from the fence to the ground.