FRACTION CALCULATOR

Big Number Fraction goutcare-gbc.com

Use this goutcare-gbc.com if the numerators or denominators are very big integers.

In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that biến hóa said whole. For example, in the fraction of

Addition:

Unlike adding and subtracting integers such as 2 & 8, fractions require a common denominator to lớn undergo these operations. One method for finding a common denominator involves multiplying the numerators và denominators of all of the fractions involved by the hàng hóa of the denominators of each fraction. Multiplying all of the denominators ensures that the new denominator is certain lớn be a multiple of each individual denominator. The numerators also need khổng lồ be multiplied by the appropriate factors khổng lồ preserve the value of the fraction as a whole. This is arguably the simplest way to lớn ensure that the fractions have a common denominator. However, in most cases, the solutions to lớn these equations will not appear in simplified form (the provided goutcare-gbc.com computes the simplification automatically). Below is an example using this method.

This process can be used for any number of fractions. Just multiply the numerators và 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.

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An alternative method for finding a common denominator is khổng lồ 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 và is more likely to lớn result in a fraction in simplified form. In the example above, the denominators were 4, 6, & 2. The least common multiple is the first shared multiple of these three numbers.

The first multiple they all mô tả is 12, so this is the least common multiple. Lớn complete an addition (or subtraction) problem, multiply the numerators & denominators of each fraction in the problem by whatever value will make the denominators 12, then add the numerators.

Subtraction:

Fraction subtraction is essentially the same as fraction addition. A common denominator is required for the operation to lớn occur. Refer to the addition section as well as the equations below for clarification.

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Multiplication:

Multiplying fractions is fairly straightforward. Unlike adding và subtracting, it is not necessary to lớn compute a common denominator in order to multiply fractions. Simply, the numerators and denominators of each fraction are multiplied, and the result forms a new numerator & denominator. If possible, the solution should be simplified. Refer to lớn the equations below for clarification.

Division:

The process for dividing fractions is similar to that for multiplying fractions. In order lớn divide fractions, the fraction in the numerator is multiplied by the reciprocal of the fraction in the denominator. The reciprocal of a number a is simply

Simplification:

It is often easier to lớn work with simplified fractions. As such, fraction solutions are commonly expressed in their simplified forms.

Converting between fractions and decimals:

Converting from decimals lớn fractions is straightforward. It does, however, require the understanding that each decimal place to lớn the right of the decimal point represents a power nguồn of 10; the first decimal place being 101, the second 102, the third 103, & so on. Simply determine what nguồn of 10 the decimal extends to, use that power nguồn of 10 as the denominator, enter each number lớn the right of the decimal point as the numerator, & simplify. For example, looking at the number 0.1234, the number 4 is in the fourth decimal place, which constitutes 104, or 10,000. This would make the fraction

Similarly, fractions with denominators that are powers of 10 (or can be converted to lớn powers of 10) can be translated khổng lồ decimal form using the same principles. Take the fraction

Common Engineering Fraction to lớn Decimal Conversions

In engineering, fractions are widely used khổng lồ describe the kích thước of components such as pipes & bolts. The most common fractional and decimal equivalents are listed below.