In this article, we will explain how to convert 30 millimeters (mm) to inches (“) using different methods and tools. We will also provide some examples and further explanation of the conversion process.
Conversion of 30mm to Inches
To convert 30 mm to inches, we need to use a formula that relates the two units of length.
One possible formula is:
d()¨=d(mm)/25.4
where d()¨ is the distance in inches and d(mm) is the distance in millimeters.
Using this formula, we can plug in the value of 30 mm and get the result in inches:
d()¨=30/25.4
d()¨=1.18110236
Therefore, 30 mm is equal to 1.18110236 inches.
Further Explanation and Examples
The formula we used above is based on the fact that one inch is equal to 25.4 millimeters. This is a fixed and exact conversion factor that can be used to convert any length from mm to inches. For example, if we want to convert 100 mm to inches, we can use the same formula and get:
d()¨=100/25.4
d()¨=3.93700787
Another way to write the formula is by using multiplication instead of division. In this case, we need to use the reciprocal of the conversion factor, which is 0.0393700787. This number represents how many inches are in one millimeter. The formula becomes:
d()¨=d(mm)×0.0393700787
Using this formula, we can also convert 30 mm to inches:
d()¨=30×0.0393700787
d()¨=1.18110236
We get the same result as before, but with a different calculation.
Sometimes, we may want to express the result in a fractional form instead of a decimal form. For example, we may want to say that 30 mm is equal to one and three-sixteenths of an inch. To do this, we need to find the closest fraction that approximates the decimal value of 1.18110236. One way to do this is by using a table of common fractions and their decimal equivalents. Here is a part of such a table:
| Fraction | Decimal |
|---|---|
| 1/16 | 0.0625 |
| 3/32 | 0.09375 |
| 1/8 | 0.125 |
| 15/64 | 0.234375 |
| 1/4 | 0.25 |
| 9/32 | 0.28125 |
| 1 | 1 |
| 19/64 | 0.296875 |
| 5/16 | 0.3125 |
| 21/64 | 0.328125 |
We can see that the closest fraction to 1.18110236 is either 19/64 or 5/16, which are both slightly larger than the decimal value. To get a more accurate fraction, we can add one more digit to the decimal value and round it up or down accordingly. For example, if we round up to 1.1812, we can see that the closest fraction is 19/64, which gives us:
d()¨=6419+6419+6419+6419+643
If we round down to 1.1811, we can see that the closest fraction is 5/16, which gives us:
d()¨=165+165+165+165+169
Both fractions are equivalent to one and three-sixteenths of an inch, which is a common way to express small lengths in inches.
Use of Conversion Calculator
Another method to convert 30 mm to inches is by using an online calculator that can perform the conversion for us automatically. There are many such calculators available on the internet, but they all work in a similar way. Here is a step-by-step guide on how to use one of them:
- Go to the website of the calculator, such as https://www.rapidtables.com/convert/length/mm-to-inch.html
- Enter the value of 30 in the box next to mm
- Click on the Convert button or press Enter
- The result will appear in the box next to inches, which is 1.18110236
- Optionally, you can also see the result in a fractional form by clicking on the Show fraction button, which will display 1 3/16
Using an online calculator is a quick and easy way to convert 30 mm to inches, but it may not be very accurate or reliable. Sometimes, the calculator may round off the result or use a different conversion factor than the one we used above. Therefore, it is always good to check the result with another method or source.
