Fasting on the 10th Muharram is Sunnat. However, instead of fasting only on the Day of Aashuraa, the Hadith exhorts that fasting should also be on the 9th or on the 11th. It was the practice of the Yahood to fast on the Day of Aashuraa in commemoration of their freedom from Firaun. Rasulullah (sallallahu alayhi wasallam) ordered that we fast on the 9th and 10th or on the 10th and 11th to avoid resemblance with the Yahood.