Kat Dennings & Fiance Andrew W.K. Hold Hands During Trip to Arts & Crafts Store

Kat Dennings and Andrew W.K. hold hands as they leave an arts and crafts store after doing some shopping on Tuesday afternoon (June 8) in Studio City, Calif.

The 34-year-old 2 Broke Girls actress kept things comfy in a gray T-shirt and black leggings while the 42-year-old musician sported a pink polo shirt, jeans, and a black baseball hat for their outing.

PHOTOS: Check out the latest pics of Kat Dennings

Kat and Andrew announced they were engaged less than a month ago.

The engagement news comes days after they confirmed they were dating. However, fans have a HUGE question they want answered about the romance…

In a recent interview, Kat revealed one big rule all Marvel stars have to follow if they work with the franchise.