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Longman Dictionary of Contemporary English
blended family
noun
EXAMPLES FROM CORPUS
▪ In the following decades she raised a blended family of five daughters and three sons.
Wiktionary
blended family

n. A stepfamily in which both new mates have one or more living children from prior partners.

Usage examples of "blended family".

Anyway, Stacey's an only child, like Mary Anne, but unlike Mary Anne or Kristy or Dawn, she's not part of a blended family.

It was hard for Mary Anne and her new blended family to reblend, too.

Spier, and Tigger (Mary Anne's kitten) moved into the Schafers' old farmhouse, and began life as a blended family.

I can't say we were close, but it seemed-I always felt we were a blended family.