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FutureStarr19 2 Calculator ORR
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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.
Comparing fractions with different denominators requires a little more work (unless you use the compare fractions calculator on this page), because in order to compare the fractions you must first turn their different denominators into the same denominators. You do that by finding the least common multiple (LCM) of the denominators. (Source: www.free-online-calculator-use.com)
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 (Source: goodcalculators.com)