The 'We Can't Stop' singer said in a radio interview that she was "fine" after learning about the divorce but her sister Noah is young and she is concerned about her well being.
Cyrus talked about her parents' divorce to Showbiz Shelly, entertainment reporter for B96 Radio in Chicago.
Shelly told People magazine that the singer appeared in good mood while talking about her single.
"She was in a really good mood, and she was talking about how she worked with Snoop Dogg on her album, and we asked her about her hair and her new look."
When asked how she was doing following divorce announcement from her father Billy Ray Cyrus and mother Tish Cyrus, the singer said that her parents' split would not be really noticeable to her because she had busy schedule.
According to Shelly, Miley added, "I'm much more concerned for my sister (Noah). She's 13."
Noah wrote a plea for support on Twitter following the announcement, saying, "Please pray for me and my family."
Tish cites "irreconcilable differences" to end the marriage. The couple had filed for a divorce in 2010 too but Billy Ray later withdrew his petition five months later.
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