How was the Yuan Dynasty overthrown?

The Yuan Dynasty was eventually destroyed by the peasants' uprising. In 1351, the 'Hongjinjun (army with red head-scarves) Uprising', led by a man named Liu Futong, broke out in Yingzhou (in current Anhui Province). Fierce battles took place progressively between the Hongjinjun military force and the Yuan army.

Explanation:

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nothing certain is known about what happened, but it seems that the country declined gradually, perhaps due to bad government, or, more likely, due to a series of bad harvests, which resulted in widespread and recurrent famine.