To convert the diameter of the bike wheel from inches to millimeters, follow these steps:
1. Understand the problem: We need to convert the diameter of the bike wheel from inches to millimeters, knowing that 1 inch is equivalent to 25.4 millimeters.
2. Identify the given information:
- The diameter of the bike wheel is 26 inches.
- The conversion factor is [tex]\( 1 \text{ inch} = 25.4 \text{ millimeters} \)[/tex].
3. Set up the conversion:
We need to multiply the diameter in inches by the conversion factor to get the diameter in millimeters. This can be written as:
[tex]\[
26 \text{ inches} \times 25.4 \text{ millimeters per inch}
\][/tex]
4. Perform the multiplication:
[tex]\[
26 \text{ inches} \times 25.4 \text{ millimeters per inch} = 660.4 \text{ millimeters}
\][/tex]
So, the diameter of the bike wheel in millimeters is [tex]\( 660.4 \text{ millimeters} \)[/tex].
The correct option among the given choices is:
[tex]\[
26 \text{ inches} \left( \frac{25.4 \text{ millimeters}}{1 \text{ inch}} \right)
\][/tex]
This option correctly sets up the multiplication needed to convert inches to millimeters.
