Question
Five friends each knit one part of a scarf that is 1
12
yards long.
Which shows the fractions of the scarf each friend could have knit?
12
yards long.
Which shows the fractions of the scarf each friend could have knit?
Answers
GPT-4o mini
If the scarf is \( \frac{1}{12} \) yards long and it is divided among five friends, we need to determine how much of the scarf each friend could knit. To do this, we divide the total length of the scarf by the number of friends.
We calculate:
\[
\text{Length each friend knitted} = \frac{\frac{1}{12}}{5}
\]
This can be rewritten as:
\[
\frac{1}{12} \div 5 = \frac{1}{12} \times \frac{1}{5} = \frac{1 \times 1}{12 \times 5} = \frac{1}{60}
\]
So, each friend knits \( \frac{1}{60} \) of the scarf.
Therefore, the fractions of the scarf each friend could have knit is \( \frac{1}{60} \).
We calculate:
\[
\text{Length each friend knitted} = \frac{\frac{1}{12}}{5}
\]
This can be rewritten as:
\[
\frac{1}{12} \div 5 = \frac{1}{12} \times \frac{1}{5} = \frac{1 \times 1}{12 \times 5} = \frac{1}{60}
\]
So, each friend knits \( \frac{1}{60} \) of the scarf.
Therefore, the fractions of the scarf each friend could have knit is \( \frac{1}{60} \).