Inch Fraction Calculator – Convert Decimal to Inches
Convert inch fractions to decimal, convert decimal to inch fractions, convert inches to metric measurements, convert metric measurements to inch fractions, and convert to feet automatically.
Inch Fraction, Decimal, and Metric Results
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Inch Fraction to Decimal Conversions
The chart below can be used to easily find the correct fraction for your decimal measurement, or vice-versa. Find decimal equivalents in 1⁄64” increments, including 1⁄2“, 1⁄4“, 1⁄8“, and 1⁄16“, and 1⁄32” measurements.
The chart also shows hints on the markings sizes found on a tape measure or ruler.
How to Calculate Inch Fractions
Inch fractions use denominators that are powers of 2 and go up to the 64th of an inch. That means the fraction denominators will be 2, 4, 8, 16, 32, and 64. As a result, converting a decimal to an inch fraction is not quite the same as converting a decimal to a regular fraction.
Instead, it is necessary to find the nearest fraction with the denominator that is a power of 2, also known as a dyadic fraction or dyadic rational number. Typical inch fractions will look something like 1/64, 1/32, 1/16, 1/8, 1/4, or 1/2. Use our feet and inches calculator to add or subtract feet and inch fractions.
How to Convert Inches to Fraction
To convert decimal inches to an inch fraction, you’ll need to round the decimal portion to the nearest fractional inch.
Separate the whole number from the decimal; these are the whole inches. Then, take the remaining portion of the decimal to the right of the decimal point and multiply it by the level of precision you need (e.g., 1/16, 1/32, or 1/64).
For instance, to round to the nearest 1/16, take the decimal portion and multiply it by 16. Then, round that to get the numerator of the inch fraction.
Finally, place the numerator over the level of precision, 16 in this case. Then, put the fractional inches next to the whole inches for the final result.
For example, let’s convert 2.695 inches to a fraction with 1/16″ precision.
Remove the whole number 2 from the decimal to leave us with the decimal 0.695.
Then, multiply 0.695 by 16.
0.695 × 16 = 11.12
Round this to the nearest whole number; in this case, 11.12 can be rounded to 11. Put that in a fraction over 16, so 11/16 is the remaining inch fraction.
Put it all together by placing the whole inches (2) in front of the inch fraction.
2.695 in = 2 11/16
Thus, using this method, you can see that 2.695 decimal inches is equal to 2 11/16 as an inch fraction.
Finding Inch Fractions on a Tape Measure
Finding measurements on a ruler or tape measure can be confusing at first, but once you understand how the marks are laid out, then it is far simpler. The markings between the larger inch numbers vary in length.
The longest markings will be the quarter-inch markings, i.e., the first marking is 1/4 inch, the second is 1/2 (2/4) inch, the third is 3/4 inch.
The next longest markings will be the eighth-inch markings, i.e., the first marking is 1/8 inch, the second is 3/8 inch, the third is 5/8 inch, etc.
The next longest markings will be the sixteenth-inch markings, i.e., the first marking is 1/16 inch, the second is 3/16 inch, the third is 5/16 inch, etc.
Download a free printable ruler with fraction measurements marked to help learn how to find the inch fractions for a measurement and for easy reading.
Converting Inches to Metric Measurements
Inch Fraction Conversion Chart – Fraction Decimal and Metric Equivalents
See equivalent length measurements in fraction, decimal, and metric up to one inch in 1⁄64” increments. Use this to convert decimals to inches and millimeters.
- The Free Dictionary, dyadic rational, https://encyclopedia2.thefreedictionary.com/Dyadic+rational+number