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## Sagot :

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.