To convert 3/4 inch to mm, we will use the following conversion factor:

1 inch = 25.4 mm

Step 1: Set up the equation

Since we want to convert from inches to mm, we will set up the equation like this:

3/4 inch x (25.4 mm / 1 inch)

Step 2: Cancel out the like units

Notice that inches appear on the top and bottom of the fraction. This means we can cancel them out. Our equation now becomes:

3/4 x 25.4 mm

Step 3: Simplify the fraction

To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor, which is 1. This gives us:

(3/1) x (25.4/4) mm

Step 4: Multiply

Now we can simply multiply the numbers in the parentheses together:

3 x 25.4 / 1 x 4 mm

Step 5: Calculate

Solving this multiplication, we get:

76.2 / 4 mm

Step 6: Simplify the fraction

To simplify the fraction, we can divide 76.2 by 4 to get:

19.05 mm

Step 7: Round off

Since mm is a smaller unit of length than inches, it is recommended to round off the final answer to the appropriate number of significant figures. In this case, we can round off to 2 decimal places to get:

19.05 mm

Therefore, 3/4 inch is equal to 19.05 mm when converted.