Unit conversion check (fractional inches → millimeters) Using a standard fractional–decimal–metric chart (or by direct calculation), what is the metric equivalent in millimeters of 3/16 inch, rounded to four decimal places?

Introduction / Context:Mechanical drawings often require converting legacy imperial measurements to metric for tooling or international suppliers. Converting fractional inches to millimeters is straightforward with the inch-to-millimeter factor of 25.4.

Given Data / Assumptions:

• Target value: 3/16 inch.
• Exact conversion: 1 inch = 25.4 mm (by definition).
• Desired output: millimeters to four decimal places when appropriate.

Concept / Approach:First convert the fraction to a decimal inch value, then multiply by 25.4 to get millimeters. Keep sufficient precision during intermediate steps.

Step-by-Step Solution:

Verification / Alternative check:Consult a standard conversion chart: line for 3/16 inch lists 0.1875 inch and 4.7625 mm, confirming the arithmetic.

Why Other Options Are Wrong:

• 1.906 mm: Approximately 3/64 inch, not 3/16 inch.
• 5.958 mm: Does not correspond to a common simple fraction; too large for 3/16.
• 14.6844 mm: Roughly 37/64 inch; far larger than 3/16.

Common Pitfalls:Confusing numerator/denominator or using 25 instead of 25.4 leads to significant error. Always retain sufficient precision before rounding.

Final Answer:4.7625