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 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

It can readily characterize both very large and very small numbers. Examples of scientific notation: 3,500,000 = 3.5 × 10 6; 0.0000425 = 4.25 × 10 -5. The cast is varied and interesting enough for each viewer to have their personal favorite. Some of us will relate to the meticulous and sensible detective, while others will develop a bond with the brilliant but troubled and sometimes mad scientist. I found the acting to be very strong on all accounts, except perhaps for a few awkward interrogation scenes. It is often easier to work with simplified fractions. As such, fraction solutions are commonly expressed in their simplified forms. 220 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. Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible: x - (17) x - 17The first multiple they all share is 12, so this is the least common multiple. To complete an addition (or subtraction) problem, multiply the numerators and denominators of each fraction in the problem by whatever value will make the denominators 12, then add the numerators. EX: the decimal would then be 0.05, and so on. Beyond this, converting fractions into decimals requires the operation of long division. When a is a fraction, this essentially involves exchanging the position of the numerator and the denominator. The reciprocal of the fraction 3

Scientific notion, which is also referred to as "Standard Form" or "Exponential Form", represents a numerical value that is recorded in the following form: 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 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 Now, on the left hand side, the 2 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

Converting numbers into numeric form can be very beneficial in a range of disciplines including engineering, mathematics, and computing. In a calculator or computer, E or e, which stand for exponential, are employed to denote the power of 10. E Notation

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 Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero. 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 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. This process can be used for any number of fractions. Just multiply the numerators and 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. EX: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 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