Question

Over a period of 2 3/4 years, 11/24 in. of tread has worn off a tire. What was the average tread wear per year?

a) 1/3 in.
b) 1/4 in.
c) 1/6 in.
d) 1/8 in.

Answer 1

To find the average tread wear per year, divide the total tread wear, 11/24 inches, by the time period, 2 3/4 years. Converting 2 3/4 years to an improper fraction, then performing the division, we get 1/6 inch as the average tread wear per year.

Step-by-step explanation:

The student is asking about the average tread wear per year of a tire over a period of 2 3/4 years when 11/24 inches of tread has worn off. To calculate the average wear per year, we divide the total tread wear by the number of years.

1. First, convert the mixed number 2 3/4 to an improper fraction: 2 3/4 = (2×4 + 3)/4 = 11/4 years.
2. Next, divide the total tread wear (11/24 in.) by the number of years (11/4 years).
3. This calculation gives us (11/24) ÷ (11/4) = (11/24) × (4/11) = 1/6 in.

Therefore, the average tread wear per year is 1/6 inch.