One source said of the healthy outing: "They sat in the front row of the spin class and rode on bikes next to each other.
They were affectionate after the class, despite being sweaty.
She covered up in a big jacket and huge black sunglasses.
The pair married in New York last year after dating for three years.The 30-year-old fashion designer was seen leaning up against a shirtless Richard while taking a break from their hike on Sunday (January 1).PHOTOS: Check out the latest pics of Ashley Olsen Richard, 58, later put his Casamigos Tequila shirt back on and he held hands with Ashley during a stroll back to their hotel.Fans will be pleased to see Mary-Kate looking happy after photos of her looking extremely slim emerged in September.The star was dubbed "frighteningly skinny" as she stepped out in a black bikini while on holiday in the French Riviera.
Ashley Olsen has maintained a low-profile life out of the spotlight.