The number of yards of fabric required for making 7 identical elf costumes is 15 3/4 yards.
A mixed fraction is represented with the quotient and the remainder. So, the combination of a whole number and the proper fraction is called a mixed fraction.
Eg: 2 3/4 where 2 is the quotient and 3 is the remainder.
It is given that,
Mrs. Henderson used 6 3/4 yards of fabric to make 3 identical elf costumes.
Then, for making 1 costume, it requires
1 costume = 6 3/4 ÷ 3
⇒ 27/4 ÷ 3
⇒ 27/4 × 1/3
⇒ 9/4 yards
Thus, making 1 elf costume requires 9/4 yards.
Then, for making 7 identical elf costumes, it requires
7 identical elf costumes = 7 × 9/4 yards = 63/4 yards
The obtained value is expressed in the mixed fraction form as
63/4 yards = 15 3/4 yards.
Therefore, 15 3/4 yards of fabric are needed for 7 identical elf costumes.
Learn more about mixed fractions here:
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