The length of the rope Kurt started with is 13 1/3 inches
Calculating lengths
From the question, we are to determine the total length of the rope
From the given information,
The first piece was 4 4/5 inches long
and
The second piece was 8 1/2 inches long
Then,
The length of the rope Kurt started with will be
4 4/5 + 8 1/2
[tex]4\frac{4}{5} + 8\frac{1}{2}[/tex]
First, convert the fractions into improper fractions
[tex]\frac{24}{5} + \frac{17}{2}[/tex]
The Lowest common multiple (LCM) of the denominators is 10.
Then, we get
[tex]\frac{(2\times 24) + (5 \times 17)}{10}[/tex]
= [tex]\frac{48 + 85}{10}[/tex]
= [tex]\frac{133}{10}[/tex]
= [tex]13 \frac{1}{3}[/tex]
Hence, the length of the rope Kurt started with is 13 1/3 inches.
Learn more on Calculating lengths here: https://brainly.com/question/26496891
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