By Mohi NarayanNEW DELHI, Aug 11 (Reuters) - Shipping traffic through the Strait of Hormuz fell to six on Monday, compared with a 10-day average of about 11 vessels, shipping data showed, amid fading hopes of a peace deal between the U.S. and Iran. Two vessels — a small tanker laden with liquefied petroleum gas and another carrying residual fuels — exited the Strait, the data showed. On Monday, 25 vessels transited the Bab el-Mandeb strait on the Red Sea, broadly unchanged when compared with the 10-day average of nearly 24 ships, Kpler data showed. The Iranian demands were largely in line with the terms of a preliminary peace deal signed in June, which has since broken down. Since the war began in February, Trump has repeatedly swung between threats of escalation and assertions that a peace deal is close.