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Sagot :

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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