### About this deal

However, not all fractions have a nice decimal representation. Some of them are given by infinitely many digits after the dot! It seems like we need to find another way to compare them. as shown in the image to the right. Note that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions can undergo many different operations, some of which are mentioned below. The first multiple they all share is 12, so this is the least common multiple. To complete an addition (or subtraction) problem, multiply the numerators and denominators of each fraction in the problem by whatever value will make the denominators 12, then add the numerators. EX: Fraction subtraction is essentially the same as fraction addition. A common denominator is required for the operation to occur. Refer to the addition section as well as the equations below for clarification. a Similarly, fractions with denominators that are powers of 10 (or can be converted to powers of 10) can be translated to decimal form using the same principles. Take the fraction 1

For the four arithmetic operations) If you'd like to see the calculations described step by step, visit the appropriate Omni tool from the list below the result. Following the formula, input the values of a and b in the corresponding fields. These can be integers, decimals, etc. Percentages are represented by the symbol "%" and provide a standardized method to compare quantities or indicate changes. You'll find them used in

### Three Point Decimal as Fraction

As an example, if you want to find what percentage 15 is of 300, you would divide 15 by 300, resulting in 0.05. Multiplying 0.05 by 100 gives you 5%. Let's take the example from the beginning of the above section: 2/5 and 3/8. One way to compare them is to convert both to decimals. This would give: Unlike adding and subtracting integers such as 2 and 8, fractions require a common denominator to undergo these operations. One method for finding a common denominator involves multiplying the numerators and denominators of all of the fractions involved by the product of the denominators of each fraction. Multiplying all of the denominators ensures that the new denominator is certain to be a multiple of each individual denominator. The numerators also need to be multiplied by the appropriate factors to preserve the value of the fraction as a whole. This is arguably the simplest way to ensure that the fractions have a common denominator. However, in most cases, the solutions to these equations will not appear in simplified form (the provided calculator computes the simplification automatically). Below is an example using this method. a

the numerator is 3, and the denominator is 8. A more illustrative example could involve a pie with 8 slices. 1 of those 8 slices would constitute the numerator of a fraction, while the total of 8 slices that comprises the whole pie would be the denominator. If a person were to eat 3 slices, the remaining fraction of the pie would therefore be 5 An alternative method for finding a common denominator is to determine the least common multiple (LCM) for the denominators, then add or subtract the numerators as one would an integer. Using the least common multiple can be more efficient and is more likely to result in a fraction in simplified form. In the example above, the denominators were 4, 6, and 2. The least common multiple is the first shared multiple of these three numbers. Multiples of 2: 2, 4, 6, 8 10, 12 fields such as finance and statistics, and you'll likely use them within everyday situations, such as splitting a bill, calculating a gratuity or working out a discount. In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole. For example, in the fraction of 3 This process can be used for any number of fractions. Just multiply the numerators and denominators of each fraction in the problem by the product of the denominators of all the other fractions (not including its own respective denominator) in the problem. EX:

When a is a fraction, this essentially involves exchanging the position of the numerator and the denominator. The reciprocal of the fraction 3 The brute-force method would be to multiply the two denominators. However, if you'd like to be a bit more subtle, you can choose their least common multiple. In fact, in our case, since the denominators are coprime (i.e., have no common factors), those two methods give the same result: 40.

If the k-th entry is smaller than the (k+1)-th, make them swap places and remember that something changed. If not, don't change anything. the decimal would then be 0.05, and so on. Beyond this, converting fractions into decimals requires the operation of long division.We know that 40 = 5 × 8, so to turn 2/5 into an equivalent fraction with denominator 40, we multiply its top and bottom by 8: Converting from decimals to fractions is straightforward. It does, however, require the understanding that each decimal place to the right of the decimal point represents a power of 10; the first decimal place being 10 1, the second 10 2, the third 10 3, and so on. Simply determine what power of 10 the decimal extends to, use that power of 10 as the denominator, enter each number to the right of the decimal point as the numerator, and simplify. For example, looking at the number 0.1234, the number 4 is in the fourth decimal place, which constitutes 10 4, or 10,000. This would make the fraction 1234 If k < n - 1, increase k by 1, and repeat from point 2. Otherwise, recall if something changed in this run of the algorithm. If yes, repeat from point 1. If not, end the algorithm.