Inflation in Britain held steady in June as the Bank of England inches toward its first interest rate cut in years and economists pondered whether a global pop star helped keep services prices higher. Food inflation also slowed, with prices rising just 1.5 percent compared with a year ago. But the June inflation data came in slightly higher than expected. Core inflation, which excludes energy and food prices, was expected to dip but remained at 3.5 percent in June. Traders reduced their bets on an August rate cut, giving it about a 35 percent chance.