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.