A recent Instagram: “The greatest prison people live in is the fear of what other people think.” Fans, for their part, have been drawn to her authenticity.

“It’s totally fine to be a private person, but I think it’s the biggest mistake you can make if you’re a public figure to try and act like you’re something that you’re not. With ‘DWTS,’ I really wanted to learn to dance, but I also loved having an opportunity to control the narrative of what people saw of me.

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He’d be like, ‘How much better will you feel tomorrow knowing you did the dance one more time and perfected it?

’ He always says, ‘Earn your sleep.’ And that’s how I want to go about my life now.

“I have these moments where I just kind of go, ‘Oh my God, I’m on Broadway!

’ ” Aside from her superstar parents, Rumer credits her “Dancing With the Stars” partner for instilling these work-hard values in her. “I learned from him about giving it everything you have, even if you’re exhausted and it’s Hour 9 of rehearsal.

Based in LA, she’s spent much of the year on tour with “DWTS,” becoming good friends with dancers Peta Murgatroyd and Emma Slater.

“I get angry when people make an assumption or get s – – t wrong,” she says, leaning forward in her chair.Her personal style, too, has evolved in the past year. Her hair today is short and black, and she’s wearing black workout leggings and a black-and-white oversize V-neck sweater.“I don’t even notice it, but if I have longer hair I definitely dress more girly. I love the Kooples, and I’m really digging that whole androgynous, woman-in-a-suit thing.I don’t want to just settle for being mediocre.” Confession: I had the sexiest date tonight and it is so fab getting to introduce @ruelarue to some of my OG #Texas friends from college.#Matt And Erics Wedding #Rumer Is Roxie #Rue And Blue A post shared by Tye Blue (@tyeblue1) on Although there was much speculation (and wishful thinking on the part of the show’s fans) that Rumer and Val would become an off-screen item as well, she sets the record straight that the two never dated. The 27-year-old daughter of Bruce Willis and Demi Moore has just wrapped her first eight-show week starring as Roxie Hart in “Chicago” on Broadway, and, not surprisingly, she’s feeling a bit bedraggled.