Final answer:
Kublai Khan ruled over China in the Yuan Dynasty from the 1270s until the 1330s. He established himself as the Yuan emperor and the great khan, essentially ruling over whole Mongol Empire. He also made substantial efforts to assimilate with Chinese culture.
Step-by-step explanation:
Kublai Khan, the grandson of Chinggis Khan, ruled over China during the Yuan Dynasty, which was established in the 1270s. He begun his conquest of China by adopting the Chinese name Yuan for his empire in 1271. After fully conquering the Song dynasty by 1279, Kublai Khan became the first non-Chinese ruler of China. Despite many internal divisions and difficulties, his rule persisted until the 1330s, marking the decline of the Yuan dynasty.
In addition to declaring himself the Yuan emperor, Kublai Khan also claimed the title of great khan, asserting his claims to supremacy over the entire Mongol Empire, although it was segmented under various regional khans. Even though Kublai Khan was of Mongol origin, Kublai Khan made important efforts to integrate with Chinese culture, including shifting his capital from Karakorum in Mongolia to what is now Beijing, in 1264.
Learn more about Kublai Khan's Rule