When I first heard the question “can we wash clothes on Ekadashi?” I thought it was some kind of joke. But later I realized that it was an innocent query by an ardent devotee of Bhagavan Vishnu.
Yes, you can wash clothes on Ekadashi there is absolutely no problem in doing it.
Bhagavan in Kali Yuga is attainable by mere remembrance. We need not fear anything. Do your dharma and bhagavan will always there to protect you.
Do your daily duties honestly is itself a dharma. Washing body and washing one’s clothes daily is itself a dharma.