Converting 5.5mm to Inches as a Fraction
When working with measurements, it's often necessary to convert between different units. In this case, we'll explore how to convert 5.5 millimeters (mm) to inches as a fraction.
What is 5.5mm in Inches?
To convert 5.5mm to inches, we need to know that 1 inch is equal to 25.4 millimeters. Therefore, we can set up the following conversion:
5.5mm ÷ 25.4mm/in = x inches
To find the value of x, we can divide 5.5 by 25.4:
x ≈ 0.2165 inches
Converting to a Fraction
Now that we have the decimal equivalent, we can convert it to a fraction. To do this, we'll multiply the decimal by a power of 10 (in this case, 10^4) to get a whole number, and then simplify the fraction:
0.2165 × 10^4 = 2165/10000
Simplifying the fraction, we get:
2165/10000 = 433/1000 = 4330/10000
Further simplifying, we finally get:
4330/10000 = 433/1000 = 43300/100000 = 433/100 = 433/100 (simplified)
So, 5.5mm is equivalent to approximately 433/100 inches.
Conclusion
In this article, we've successfully converted 5.5mm to inches as a fraction. By understanding the conversion process and simplifying the resulting fraction, we've arrived at the final answer: 5.5mm ≈ 433/100 inches.