Answer: 3/4
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Explanation:
We'll use this formula
a & b/c = (a*c + b)/c
to convert from a mixed number to an improper fraction.
John's mixed number converts to
a & b/c = (a*c + b)/c
6 & 3/4 = (6*4 + 3)/4
6 & 3/4 = 27/4
Do the same for Kerry's string
a & b/c = (a*c + b)/c
7 & 1/2 = (7*2 + 1)/2
7 & 1/2 = 15/2
We'll subtract those results to find the difference between them.
15/2 - 27/4 = 30/4 - 27/4 = (30-27)/4 = 3/4 is the final answer
Kerry's string is 3/4 of an inch longer compared to John's string.