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 make up said whole. For example, in the fraction of 3

To return to your original question though: imagine you have a number line and want to double a number, x. You get an imaginary rope, cut it to length x then lay it out from 0 to x then from x to 2x. This is easily generalized to multiplying by any natural number, a. This free scientific notation calculator and converter can perform a range of operations in scientific notation, including adding, subtracting, multiplying, and dividing numbers. It can also convert real decimal numbers to scientific notation, and vice versa.the numerator is 3, and the denominator is 8. A more illustrative example could involve a pie with 8 slices. 1 of those 8 slices would constitute the numerator of a fraction, while the total of 8 slices that comprises the whole pie would be the denominator. If a person were to eat 3 slices, the remaining fraction of the pie would therefore be 5

Fraction subtraction is essentially the same as fraction addition. A common denominator is required for the operation to occur. Refer to the addition section as well as the equations below for clarification. a the decimal would then be 0.05, and so on. Beyond this, converting fractions into decimals requires the operation of long division. To divide by two you measure out a length of rope, then grab both ends and you have a length of x/2. You can generalise to divide by any natural number, b. It is often easier to work with simplified fractions. As such, fraction solutions are commonly expressed in their simplified forms. 220Note: it is called "Stirling's approximation" and is based on a simplifed version of the Gamma Function. When you enter an equation into the calculator, the calculator will begin by expanding (simplifying) In engineering, fractions are widely used to describe the size of components such as pipes and bolts. The most common fractional and decimal equivalents are listed below. 64 th Exponents are supported on variables using the

as shown in the image to the right. Note that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions can undergo many different operations, some of which are mentioned below. 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. a For the four arithmetic operations) If you'd like to see the calculations described step by step, visit the appropriate Omni tool from the list below the result. When scientific notation is applied, a large number is transformed into a corresponding decimal number that is between 1 and 10, multiplied by 10 raised to a given positive power, and small numbers are transformed into a corresponding decimal number between 1 and 10, multiplied by 10 raised to a given negative power. the problem. Then it will attempt to solve the equation by using one or more of the following: addition, subtraction,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. Multiples of 2: 2, 4, 6, 8 10, 12 Scientific notion, which is also referred to as "Standard Form" or "Exponential Form", represents a numerical value that is recorded in the following form: As other people (who are probably real mathematicians) have implied, as you get further on in your mathematical career, the less useful is to think of mathematical constructs being real. Instead it's helpful to think of them being useful (or in some cases elegant but of no practical use - although that's largely what people thought of number theory, before the invention of public key cryptography). Similarly, fractions with denominators that are powers of 10 (or can be converted to powers of 10) can be translated to decimal form using the same principles. Take the fraction 1 Converting from decimals to fractions is straightforward. It does, however, require the understanding that each decimal place to the right of the decimal point represents a power of 10; the first decimal place being 10 1, the second 10 2, the third 10 3, and so on. Simply determine what power of 10 the decimal extends to, use that power of 10 as the denominator, enter each number to the right of the decimal point as the numerator, and simplify. For example, looking at the number 0.1234, the number 4 is in the fourth decimal place, which constitutes 10 4, or 10,000. This would make the fraction 1234