To find out how far the caterpillar can crawl in 1 minute, we can set up a proportion based on the information given.
The caterpillar crawls \( \frac{12}{14} \) of an inch in \( \frac{14}{14} \) minutes (which is 1 minute).
To find the distance crawled in 1 minute, we multiply the distance crawled in \( \frac{14}{14} \) minutes by the reciprocal of the time it takes to crawl that distance:
\[ \text{Distance in 1 minute} = \frac{12 \text{ inches}}{14 \text{ minutes}} \times 1 \text{ minute} \]
Calculating that gives us:
\[ \text{Distance in 1 minute} = \frac{12}{14} \text{ inches} \]
You can simplify \( \frac{12}{14} \):
\[ \frac{12}{14} = \frac{6}{7} \text{ inches} \]
So, the caterpillar can crawl \( \frac{6}{7} \) inches in one minute.
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