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. When subtracting fractions with unlike denominators – 2/ 5 and 3/ 10 – repeat the procedure from the previous section, but subtracting, not adding in the final step:Įxpand the fractions to their equivalent fractions with a common denominator: 4/ 10 and 3/ 10.Save on Pinterest Save Share on Facebook Share Share on Twitter Tweet How to Calculate Inch Fractions If you have fractions with the same denominator, subtract the numerators: If you're wondering how to subtract fractions, and you've read through the previous section How do you add fractions, we have some good news for you: it's pretty much the same! If you're still wondering how adding fractions works, maybe this visual will help? Of course, our fraction calculator deals with all of these scenarios. ➽ 13/ 5 + 3/ 2 = 26/ 10 + 15/ 10 = 41/ 10įinally, you can convert your result back into a mixed fraction: That's your new numerator – write it on top of your denominator:Īnalogically, you can find out that 1 1/ 2 = 3/ 2.ĭo the standard addition of fractions with uneven denominators: Multiply the whole number by the denominator: One solution for this kind of problem is to convert the mixed fraction to an improper fraction and sum it up as usual. You want to add two mixed fractions – e.g., 2 3/ 5 and 1 1/ 2 Now that your fractions have the same denominator, you can add them: Your second fraction already has its denominator equal to 10: So, you should multiply the fraction with the denominator equal to 5 (our 1/5) by 2 to get 10 (remember that you must multiply both top and bottom numbers): Then, you need to expand each fraction to have this common denominator as its bottom number: You can use, for example, LCM – the least common multiple to find the common number of your two denominators: LCM(5,10) = 10 Another option is to multiply your denominators and reduce the fraction later. This is a bit more of a complicated case – to add these fractions, you need to find the common denominator. The fractions have unlike denominators – e.g., 2/ 5 and 3/ 10 This is the most straightforward case all you need to do is to add numerators (top numbers) together and leave the denominator as is, e.g.: The denominator (bottom number) is the same in both fractions – e.g., 3/ 5 and 1/ 5 When it comes to adding fractions, there are three scenarios:
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