Even with two losses at the end of their trip, the Dodgers were satisfied with how they’d spent the past week away from home.

Now comes the challenge they haven’t met all season: Win at Dodger Stadium.

Todd Frazier hit a two-run homer off Zack Greinke, who lost his perfect record at Great American Ball Park, and the Cincinnati Reds beat Los Angeles 4-1 on Thursday afternoon for a split of their four-game series.

The Dodgers completed a 4-3 trip to Colorado and Cincinnati, two hitter-friendly ballparks. Their pitching was solid, but the offense faded at the end, scoring one run in the last two games. They were limited to eight singles on Thursday, including Matt Kemp’s RBI hit in the first inning.

“We played pretty well this trip,” manager Don Mattingly said. “Basically you play at .500 or a little above on the road, you’re going to feel pretty good about it.

“Up to this point, we haven’t been able to make hay at home. That’s the thing that has to change for us. We’ve got to play better at home.”

The Dodgers are 19-14 on the road, one of the best marks in the NL. They’re only 11-16 at home, something that’s hard for them to explain. Also, they haven’t won more than three in a row all season, no matter where they’ve been playing.

“We’ve been playing pretty solid,” Greinke said. “People expect us to win every game, win 10 games in a row. It’s possible, but we’re over .500.”

The Reds won the last two games to finish a 5-5 homestand that left them stuck closer to the bottom of the NL Central than the top.