Divide the top number (numerator) by the bottom number (denominator) to find the value in inches as a decimal. The chart also shows hints on the markings sizes found on a tape measure or ruler.Ĭonverting an inch fraction to decimal inches is as easy as dividing the fraction. Find decimal equivalents in 1⁄ 64” increments, including 1⁄ 2“, 1⁄ 4“, 1⁄ 8“, 1⁄ 16“, and 1⁄ 32” measurements. Use this decimal to inches chart to easily find the correct fraction for your decimal measurement or to convert inches to fraction. Note that we use an “approximately equal” sign instead of an equals sign because the two numbers are not exactly equal. Thus, using this method, you can see that 2.695 decimal inches are approximately equal to 2 11/ 16 as an inch fraction. Put it all together by placing the whole inches (2) in front of the inch fraction. Put that in a fraction over 16, so 11/16 is the remaining inch fraction. Round this to the nearest whole number in this case, 11.12 can be rounded to 11. Remove the whole number 2 from the decimal to leave us with the decimal 0.695. Then, put the fractional inches next to the whole inches for the final result.įor example, let’s convert 2.695 inches to a fraction with 1/16″ precision. Then, round the result to get the numerator of the inch fraction.įinally, place the numerator over the level of precision, 16 in this case.
Then, take the remaining portion of the decimal to the right of the decimal point and multiply it by the denominator of the level of precision you need (e.g., 1/16, 1/32, or 1/64).įor instance, to round to the nearest 1/16, take the decimal portion and multiply it by 16. To convert decimal inches to an inch fraction, you’ll need to round the decimal portion to the nearest dyadic fractional inch.įirst, separate the whole number from the decimal these are the whole inches. When you’re working with larger measurements, you can use our feet and inches calculator to add or subtract feet and inch fractions. Instead, some minor rounding will occur since it will be 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. These specific fractions of an inch are referred to as inch fractions.Īs a result, if we want to convert a decimal to one of these inch fractions, then know that converting a decimal to an inch fraction is not quite the same as converting a decimal to a regular fraction. That means the fraction denominators are most commonly 2, 4, 8, 16, 32, and 64. While fractions of an inch can be represented as any standard fraction, the most common fractions of an inch use denominators that are powers of 2, from half inches to up to the 64ths of an inch. When inches are expressed as a fraction, there are some special rules to follow, which are important to know to convert a decimal to inches correctly. Measurements in inches can be expressed as a decimal or a fraction.
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