To convert 1.6 mm to inches, follow these steps:

Step 1: Recall the conversion factor

1 inch = 25.4 mm

Step 2: Set up the conversion ratio

We can write this as a ratio: 1 inch / 25.4 mm

Step 3: Determine the number of mm to convert

In this case, we want to convert 1.6 mm to inches.

Step 4: Set up the conversion equation

To convert, we will multiply the number of mm by the conversion ratio from step 2. This equation will look like this: 1.6 mm x (1 inch / 25.4 mm).

Step 5: Cancel out units

Notice that the unit of mm is in both the numerator and denominator of the conversion ratio. This means that we can cancel it out, leaving us with just inches. Our equation now looks like this: 1.6 x (1 inch / 25.4).

Step 6: Multiply

Solve the equation by multiplying straight across. This will give us: (1.6 x 1 inch) / 25.4 = 1.6 / 25.4 inches.

Step 7: Simplify

Simplify the fraction by dividing the numerator and the denominator by their greatest common factor (2). This gives us: 0.8 / 12.7 inches.

Step 8: Convert decimal to a fraction

To convert the decimal to a fraction, we will multiply both the numerator and denominator by 10. This gives us: (0.8 x 10) / (12.7 x 10) = 8/127 inches.

Step 9: Round to appropriate number of significant figures

The original number, 1.6 mm, has 2 significant figures. Therefore, we will round our final answer to 2 significant figures. This gives us: 0.63 inches.

Step 10: Write the final answer

The conversion is now complete! 1.6 mm is equal to 0.63 inches. Therefore, 1.6 mm = 0.63 inches.