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When a is a fraction, this essentially involves exchanging the position of the numerator and the denominator. The reciprocal of the fraction 3 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

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.

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

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%. 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).

Simplify Fractions Calculator

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 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: We turn both entries into values with the same denominator. In fact, we can always multiply a fraction's nominator and denominator by an arbitrary number (but the same one, mind you!), and the value of the expression will stay the same. However, it's not so easy to find something which we can obtain in this way for both fractions. Following the formula, input the values of a and b in the corresponding fields. These can be integers, decimals, etc. 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: