The 28-year-old beauty therapist from Hertfordshire was seen impressing the BGT judges on last week's show with her performance of 'My Funny Valentine', but previously failed to make it through the blind auditions on the show's BBC rival.
Fredenham recently told Digital Spy that she found her Voice UK rejection "quite disheartening".
"I was unsuccessful - the chairs didn't turn," she explained. "But I was encouraged not to let it crush me, so I went forward and auditioned for Britain's Got Talent."
The Voice UK continues this Saturday (April 20) at the later time of 8.20pm on BBC One.
Watch Alice Fredenham's recent interview with Digital Spy below: