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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. For instance, if you want to compare 23.1457 and 23.1349, then we begin with the left-most digits in the two numbers. Both of them are 2, so we move on to the next. Then we have 3-s, so again, we go one further to the left, and the same for 1-s. Finally, we arrive at two different digits: 4 and 3. Since 4 > 3, the first number is larger than the second (we don't have to look at the last digits).

the decimal would then be 0.05, and so on. Beyond this, converting fractions into decimals requires the operation of long division. 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 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: 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, 12Fraction 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 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:

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: Following the formula, input the values of a and b in the corresponding fields. These can be integers, decimals, etc. 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%. 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. 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. aWe 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: