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27 As A Fraction In Simplest Form

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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.The key thing to carrying out the addition of fractions correctly is to always keep in mind the most important part of the fraction is the number under the line, known as the denominator. If we have a situation where the denominators in the fractions involved in the addition process are the same, then we merely add the numbers that are above the separation line or as a mathematician would put it: "Adding the numerators only". We can have a look at an example of adding two fractions like 3⁄7 and 4⁄7. The expression would look like this: 3⁄7 + 4⁄7 = 7⁄7. In the case when the nominator is equal to the denominator, like in the foregoing example, it can also be equated to 1.

However, this was one of the easiest examples of adding fractions. The process may become slightly more difficult if we face a situation when the denominators of the fractions involved in the calculation are different. Nonetheless, there is a rule that allows us to carry out this type of calculations effectively. Remember the first thing: when adding the fractions, the denominators must always be the same, or, to put it in mathematicians language - the fractions should have a common denominator. In order to do that, we need to look at the denominator that we have. Here is an example: 2⁄3 + 3⁄5. So, we do not have a common denominator yet. Therefore, we use the multiplication table to find the number that is the product of the multiplication of 5 by 3. This is 15. So, the common denominator for this fraction will be 15. However, this is not the end. If we divide 15 by 3 we get 5. So, now we need to multiply the first fraction's numerator by 5 which gives us 10 (2 x 5). Also, we multiply the second fraction's denominator by 3 because 15⁄5 = 3. We get 9 (3 x 3 = 9). Now we can input all these numbers into the expression: 10⁄15 + 9⁄15 = 19⁄15 However, this was one of the easiest examples of subtracting fractions. The process may become slightly more difficult if we face a situation when the denominators of the fractions involved in the calculation are different. Nonetheless, there is a rule that allows us to carry out this type of calculations effectively. Remember the first thing: when subtracting the fractions, the denominators must always be the same, or, to put it in mathematicians language - the fractions should have a common denominator. In order to do that, we need to look at the denominator that we have. Here is an example: 3⁄3 - 2⁄5. So, we do not have a common denominator yet. Therefore, we use the multiplication table to find the number that is the product of the multiplication of 5 by 3. This is 15. So, the common denominator for this fraction will be 15. However, this is not the end. If we divide 15 by 3 we get 5. So, now we need to multiply the first fraction's numerator by 5 which gives us 10 (2 x 5). Also, we multiply the second fraction's denominator by 3 because 15⁄5 = 3. We get 9 (3 x 3 = 9). Now we can input all these numbers into the expression: 9⁄15 - 10⁄15 = -1⁄15 (Source: goodcalculators.com)

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