Final answer:
The length of the second line George drew is 12 19/42 inches. This result is obtained by adding the initial line length of 8 1/6 inches to the additional 4 2/7 inches, after finding a common denominator for the fractions.
Step-by-step explanation:
To find the length of the second line George drew, we start with the length of the first line and then add the additional length of the second line. The first line is 8 1/6 inches long.
The second line is 4 2/7 inches longer than the first line. To add these lengths, we need to find a common denominator for the fractions 1/6 and 2/7. The smallest common denominator for 6 and 7 is 42. We convert 1/6 to 7/42 and 2/7 to 12/42. Now we can add the lengths:
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- 8 1/6 inches = 8 + 7/42 inches
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- 4 2/7 inches = 4 + 12/42 inches
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- Total length = 8 + 7/42 + 4 + 12/42 inches
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- Total length = 12 + 19/42 inches
Therefore, the length of the second line that George drew is 12 19/42 inches.