Step 1: 
Convert millimeters to inches using the conversion factor: 

1 inch = 25.4 mm. 
 

Step 2:

Divide 120 mm by 25.4 mm/inch: 
\[120 \space \text { mm} \div 25.4 \space \text { mm/inch} \approx 4.7244 \space \text { inches} \]

Step 3: 
To convert the decimal to a fraction, notice that 0.7244 is close to \(\frac { 181} { 250} \).

(since \(0.7244 × 250 ≈ 181\)). 
 

Step 4:

Therefore, 120 mm is approximately 4\(\frac { 181} { 250} \) inches.

Supplemental Knowledge:

To convert millimeters to inches, you need to know the basic conversion factor: 
1 inch = 25.4 millimeters.

To convert 120 millimeters to inches, divide the number of millimeters by the conversion factor:

\[\text { Inches} = \frac { 120 \text { mm} } { 25.4 \text { mm/in} } \]

\[\text { Inches} = 4.7244\]

Next, we need to convert this decimal into a fractional inch.

1. First, recognize that 0.7244 is close to 0.75 (which is \(\frac { 3} { 4} \)). 
2. Therefore, 4.7244 inches can be approximated as \(4\frac { 3} { 4} \) inches.

For a more precise fractional representation: 
1. Convert the decimal part (0.7244) into a fraction. 
2. Multiply both numerator and denominator by an appropriate value to get a whole number in the numerator.

\[0.7244 \approx \frac { 724} { 1000} \]

Simplify this fraction by finding the greatest common divisor (GCD) of 724 and 1000: 
The GCD of 724 and 1000 is 4.

\[\frac { 724} { 1000} = \frac { 181} { 250} \]

So, \(120\) mm is approximately \(4\frac { 181} { 250} \) inches in fractional form.

From Concepts to Reality:

Converting between metric and imperial units is critical in many fields like engineering, construction and manufacturing where accurate measurements must ensure compatibility and functionality across measurements systems.

Need help with more conversions or other mathematical calculations? UpStudy’s Length Conversion Calculator makes it easy to switch between different units! With UpStudy’s tools and expert guidance, mastering conversions becomes simple and intuitive. Explore our calculators today to enhance your learning experience!