Hank enjoys hiking along the river. There are three trails close to his house to choose from. Trail A is 6 8/15 miles long. Trail B is 6 1/5 miles. Trail C is 2/3 miles.

Question

Which list has the trails in order from longest to shortest? (1 point)

Answer 1

To compare the lengths of the three trails, let's convert them into improper fractions or decimal form for easier comparison.

1. Trail A: 6 8/15 miles

   • Convert to an improper fraction: \[ 6 8/15 = \frac{6 \times 15 + 8}{15} = \frac{90 + 8}{15} = \frac{98}{15} \approx 6.5333 \]

2. Trail B: 6 1/5 miles

   • Convert to an improper fraction: \[ 6 1/5 = \frac{6 \times 5 + 1}{5} = \frac{30 + 1}{5} = \frac{31}{5} = 6.2 \]

3. Trail C: 2/3 miles

   • This is already a proper fraction, but let's convert it to decimal for comparison: \[ 2/3 \approx 0.6667 \]

Now, let's list the trails by their estimated decimal values:

• Trail A: \( \approx 6.5333 \)
• Trail B: \( 6.2 \)
• Trail C: \( \approx 0.6667 \)

Order from longest to shortest:

1. Trail A (6 8/15 miles)
2. Trail B (6 1/5 miles)
3. Trail C (2/3 miles)

So, the list in order from longest to shortest is:

• Trail A
• Trail B
• Trail C