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Fraction Calculator With Work Shown
See detailed step-by-step information about the fraction calculation procedure. Solve problems with several two, three, or more fractions and numbers in one expression.
Sometimes working with fractions in the steps you calculate a numerator larger than the denominator. This is called an “improper fraction.” An example would be something like 9/8, which means 9 parts of a whole, where each whole is divided into eight parts. If the devisor is telling us a whole is divided into eight parts, if we have nine parts we have enough for a complete whole with one part left over. So this means 9/8 is the same as one whole plus one part, or the mixed fraction 1/8.
If you’re really thinking about fractions work, you might see that you can represent the same fractional amount with different fractions that have different denominators. If we go back to visualizing our pizza, if a whole is divided into four parts, half is going to be two slices. However, if the whole is divided instead into eight parts, half of the pizza would be four slices. In these examples, 2/4 and 4/8 are both the same amount of the whole. 2/4, 4/8 and 1/2 are all equivalent fractions because the represent the same real-world amount of a whole value. (Source: www.dadsworksheets.com)
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.
To use the best common factor way of simplifying fractions you first have to find the best common factor of the numerator and denominator. So when you have to divide the numerator by a number, you also need to divide the denominator by exactly the same number. The 2 denominators ought to be changed in the exact denominator before it's possible to add. (Source: sites.google.com)