The average British house price fell 0.6% in June to £166,203 ($252,246), mortgage lender Halifax reported Thursday. That left the average price up 6.3% compared to June 2009. House prices fell 0.5% in May for a year-on-year rise of 6.9%. “An increase in the number of properties available for sale in recent months has helped to reduce the imbalance, relieving the upward pressure on prices,” said Martin Ellis, housing economist at Halifax.