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 6 2/3 miles. Which list has the trails in order from longest to shortest?(1 point)

Question

Responses

C, B, A
C, B, A

A, B, C
A, B, C

C, A, B
C, A, B

B, A, C

Answer 1

To compare the lengths of the trails, we first convert each of them to improper fractions or decimals for easier comparison.

1. Trail A: \( 6 \frac{8}{15} = \frac{6 \times 15 + 8}{15} = \frac{90 + 8}{15} = \frac{98}{15} \approx 6.53 \)
2. Trail B: \( 6 \frac{1}{5} = \frac{6 \times 5 + 1}{5} = \frac{30 + 1}{5} = \frac{31}{5} = 6.2 \)
3. Trail C: \( 6 \frac{2}{3} = \frac{6 \times 3 + 2}{3} = \frac{18 + 2}{3} = \frac{20}{3} \approx 6.67 \)

Now let's compare the approximate values:

• Trail A: \( \approx 6.53 \)
• Trail B: \( 6.2 \)
• Trail C: \( \approx 6.67 \)

Ordering them from longest to shortest:

1. Trail C: \( 6 \frac{2}{3} \)
2. Trail A: \( 6 \frac{8}{15} \)
3. Trail B: \( 6 \frac{1}{5} \)

Thus, the correct order from longest to shortest is C, A, B.

Answer: C, A, B