To determine the fraction of bolts that are greater than 1 inch long from the provided options, it's necessary to analyze the answers as fractions. The responses you have given are:
- 410 (This appears to be a typographical error and is likely meant as 4/10)
- 37 (This should be interpreted as 3/7)
- 46 (This should be interpreted as 4/6)
- 710 (This should be interpreted as 7/10)
Now let's simplify the fractions:
- \( \frac{4}{10} = \frac{2}{5} \)
- \( \frac{3}{7} \) (This is already in simplest form)
- \( \frac{4}{6} = \frac{2}{3} \)
- \( \frac{7}{10} \) (This is already in simplest form)
Without additional context about the number of bolts greater than 1 inch long, the comparison can't be definitively made. If you have specific data regarding the number of bolts tested or the lengths, you could find the precise fraction.
However, if we assume these fractions represent the results derived from a sample study or data, the fraction of bolts greater than 1 inch long can be selected from the simplest forms given what you have based on some context.
The fractions can also be compared in terms of their values as decimals to find the largest:
- \( \frac{2}{5} = 0.4 \)
- \( \frac{3}{7} \approx 0.4286 \)
- \( \frac{2}{3} \approx 0.6667 \)
- \( \frac{7}{10} = 0.7 \)
Here, \( \frac{7}{10} \) is the highest, suggesting that it represents the largest fraction of bolts greater than 1 inch in length in the provided options.
Thus, the answer you'd likely select, given the choices and the highest value, would be:
\( \frac{7}{10} \)