To figure out which response shows the fractions of the scarf that each friend could have knitted, we first need to sum the fractions in each option and see if they equal 1 (which represents the whole scarf).
Let's evaluate each option to see if their total equals 1.
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Option 1:
\( \frac{1}{12} + \frac{2}{12} + \frac{3}{12} + \frac{8}{12} + \frac{4}{12} \)
\( = \frac{1 + 2 + 3 + 8 + 4}{12} = \frac{18}{12} = \frac{3}{2} \)
(Total is greater than 1) -
Option 2:
\( \frac{1}{12} + \frac{6}{12} + \frac{3}{12} + \frac{2}{12} + \frac{4}{12} \)
\( = \frac{1 + 6 + 3 + 2 + 4}{12} = \frac{16}{12} = \frac{4}{3} \)
(Total is greater than 1) -
Option 3:
\( \frac{2}{12} + \frac{3}{12} + \frac{3}{12} + \frac{2}{12} + \frac{5}{12} \)
\( = \frac{2 + 3 + 3 + 2 + 5}{12} = \frac{15}{12} = \frac{5}{4} \)
(Total is greater than 1) -
Option 4:
\( \frac{5}{12} + \frac{1}{12} + \frac{4}{12} + \frac{2}{12} + \frac{5}{12} \)
\( = \frac{5 + 1 + 4 + 2 + 5}{12} = \frac{17}{12} = \frac{17}{12} \)
(Total is greater than 1)
None of the options total to 1, so it seems there might be an error in the problem or the options.
However, if we standardly consider that each friend can contribute a fraction to make a total of 1, the ideal case would be for the total to equal 1 when all five fractions are summed.
In this scenario, none of the provided options are suitable as they exceed the whole (i.e., 1).
Please verify if any alterations or use of the fractions can be conducted. But none reflect an equal division of a singular scarf.