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3 Fraction Calculator:

A fraction calculator is an neat little tool that lets you calculate the value of a fraction.

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.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.

For multiplying fractions, multiply the numerators and denominators of the given fraction. To multiply any 3 fractions, multiply the three numerators and then multiply the three denominators. After multiplying the numerators and denominators, write them as fractions. This will give the product of 3 fractions in fractional form. To get in decimal form, divide the numerator of the fractional product with its denominator. That gives us \(\frac{68}{100}\). Now we can simplify the fraction by looking for a common factor. If you don’t know the greatest common factor you can start by dividing by any common factor. Notice 68 and 100 are both divisible by 2. This reduces the fraction to 34/50. From here, notice that both 34 and 50 are divisible by 2. This reduces to \(\frac{17}{25}\), which is the simplified answer.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