5mm to Inches: A Fractional Conversion Guide
Converting millimeters to inches can be a bit tricky, especially when dealing with fractions. In this article, we'll focus on converting 5mm to inches as a fraction, providing you with a step-by-step guide and explanation.
What is 5mm in Inches?
To convert 5mm to inches, we need to know that 1 inch is equal to 25.4 millimeters. Let's do the math:
5 mm ÷ 25.4 mm/in = 0.19685 in
Now, let's convert this decimal value to a fraction.
Converting 0.19685 to a Fraction
To convert the decimal value 0.19685 to a fraction, we can use the following steps:
- Divide 1 by the decimal value: 1 ÷ 0.19685 = 5.08
- Find the nearest whole number: 5
- Subtract the whole number from the result: 5.08 - 5 = 0.08
- Repeat steps 1-3 with the remaining decimal value: 1 ÷ 0.08 = 12.5
- Combine the whole number and the fraction: 5 1/12.5
Simplifying the Fraction
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD is 1.
5 1/12.5 = 5 2/25
Conclusion
In conclusion, 5mm is equal to 5 2/25 inches as a fraction. This conversion is useful in various fields, such as engineering, architecture, and woodworking, where precise measurements are crucial. By following these steps, you can easily convert millimeters to inches as a fraction, ensuring accuracy and precision in your work.
