Home / Tổng hợp / Astounding: 1 + 2 + 3 + 4 + 5 + ASTOUNDING: 1 + 2 + 3 + 4 + 5 + 05/10/2021 Below are multiple fraction cusc.edu.vns capable of addition, subtraction, multiplication, division, simplification, và conversion between fractions and decimals. Fields above the solid black line represent the numerator, while fields below represent the denominator.Bạn đang xem: Astounding: 1 + 2 + 3 + 4 + 5 + + - x / = ?? Mixed Numbers cusc.edu.vn + - x / = ? Simplify Fractions cusc.edu.vn =? Decimal khổng lồ Fraction cusc.edu.vn=?? Fraction to lớn Decimal cusc.edu.vn = ? Big Number Fraction cusc.edu.vnUse this cusc.edu.vn if the numerators or denominators are very big integers. + - x / = ? In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator và a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that cosplay said whole. For example, in the fraction of 38, the numerator is 3, & 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 khổng lồ eat 3 slices, the remaining fraction of the pie would therefore be 58 as shown in the image khổng lồ 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.Addition:Unlike adding & subtracting integers such as 2 và 8, fractions require a common denominator 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 sản phẩm 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 to lớn be multiplied by the appropriate factors khổng lồ preserve the value of the fraction as a whole. This is arguably the simplest way khổng lồ ensure that the fractions have a common denominator. However, in most cases, the solutions to lớn these equations will not appear in simplified khung (the provided cusc.edu.vn computes the simplification automatically). Below is an example using this method.ab + cd = a×db×d + c×bd×b = ad + bcbdEX: 34 + 16 = 3×64×6 + 1×46×4 = 2224 = 1112This process can be used for any number of fractions. Just multiply the numerators và denominators of each fraction in the problem by the sản phẩm of the denominators of all the other fractions (not including its own respective denominator) in the problem.Xem thêm: EX: 14 + 16 + 12 = 1×6×24×6×2 + 1×4×26×4×2 + 1×4×62×4×6=1248 + 848 + 2448 = 4448 = 1112An alternative method for finding a common denominator is khổng lồ determine the least common multiple (LCM) for the denominators, then địa chỉ or subtract the numerators as one would an integer. Using the least common multiple can be more efficient và is more likely khổng lồ 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, 12Multiples of 4: 4, 8, 12Multiples of 6: 6, 12The first multiple they all nói qua is 12, so this is the least common multiple. Lớn 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: 14 + 16 + 12 = 1×34×3 + 1×26×2 + 1×62×6=312 + 212 + 612 = 1112Subtraction:Fraction subtraction is essentially the same as fraction addition. A common denominator is required for the operation khổng lồ occur. Refer lớn the addition section as well as the equations below for clarification.ab – cd = a×db×d – c×bd×b = ad – bcbdEX: 34 – 16 = 3×64×6 – 1×46×4 = 1424 = 712Multiplication:Multiplying fractions is fairly straightforward. Unlike adding & subtracting, it is not necessary lớn compute a common denominator in order to lớn multiply fractions. Simply, the numerators and denominators of each fraction are multiplied, and the result forms a new numerator và denominator. If possible, the solution should be simplified. Refer lớn the equations below for clarification. ab × cd = acbdEX: 34 × 16 = 324 = 18Division:The process for dividing fractions is similar lớn that for multiplying fractions. In order to 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 1a . When a is a fraction, this essentially involves exchanging the position of the numerator và the denominator. The reciprocal of the fraction 34 would therefore be 43. Refer to the equations below for clarification. ab / cd = ab × dc = adbcEX: 34 / 16 = 34 × 61 = 184 = 92Simplification:It is often easier lớn work with simplified fractions. As such, fraction solutions are commonly expressed in their simplified forms. 220440 for example, is more cumbersome than 12. The cusc.edu.vn provided returns fraction inputs in both improper fraction khung as well as mixed number form. In both cases, fractions are presented in their lowest forms by dividing both numerator và denominator by their greatest common factor. Converting between fractions và decimals:Converting from decimals khổng lồ fractions is straightforward. It does, however, require the understanding that each decimal place lớn the right of the decimal point represents a nguồn of 10; the first decimal place being 101, the second 102, the third 103, and so on. Simply determine what nguồn of 10 the decimal extends to, use that power of 10 as the denominator, enter each number khổng lồ 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 123410000, which simplifies to lớn 6175000, since the greatest common factor between the numerator and denominator is 2. Similarly, fractions with denominators that are powers of 10 (or can be converted lớn powers of 10) can be translated khổng lồ decimal size using the same principles. Take the fraction 12 for example. To lớn convert this fraction into a decimal, first convert it into the fraction of 510. Knowing that the first decimal place represents 10-1, 510 can be converted lớn 0.5. If the fraction were instead 5100, the decimal would then be 0.05, and so on. Beyond this, converting fractions into decimals requires the operation of long division. Common Engineering Fraction khổng lồ Decimal ConversionsIn engineering, fractions are widely used lớn describe the kích thước of components such as pipes and bolts. The most common fractional and decimal equivalents are listed below.64th32nd16th8th4th2ndDecimalDecimal(inch lớn mm)1/640.0156250.3968752/641/320.031250.793753/640.0468751.1906254/642/321/160.06251.58755/640.0781251.9843756/643/320.093752.381257/640.1093752.7781258/644/322/161/80.1253.1759/640.1406253.57187510/645/320.156253.9687511/640.1718754.36562512/646/323/160.18754.762513/640.2031255.15937514/647/320.218755.5562515/640.2343755.95312516/648/324/162/81/40.256.3517/640.2656256.74687518/649/320.281257.1437519/640.2968757.54062520/6410/325/160.31257.937521/640.3281258.33437522/6411/320.343758.7312523/640.3593759.12812524/6412/326/163/80.3759.52525/640.3906259.92187526/6413/320.4062510.3187527/640.42187510.71562528/6414/327/160.437511.112529/640.45312511.50937530/6415/320.4687511.9062531/640.48437512.30312532/6416/328/164/82/41/20.512.733/640.51562513.09687534/6417/320.5312513.4937535/640.54687513.89062536/6418/329/160.562514.287537/640.57812514.68437538/6419/320.5937515.0812539/640.60937515.47812540/6420/3210/165/80.62515.87541/640.64062516.27187542/6421/320.6562516.6687543/640.67187517.06562544/6422/3211/160.687517.462545/640.70312517.85937546/6423/320.7187518.2562547/640.73437518.65312548/6424/3212/166/83/40.7519.0549/640.76562519.44687550/6425/320.7812519.8437551/640.79687520.24062552/6426/3213/160.812520.637553/640.82812521.03437554/6427/320.8437521.4312555/640.85937521.82812556/6428/3214/167/80.87522.22557/640.89062522.62187558/6429/320.9062523.0187559/640.92187523.41562560/6430/3215/160.937523.812561/640.95312524.20937562/6431/320.9687524.6062563/640.98437525.00312564/6432/3216/168/84/42/2125.4 Bài viết liên quan Tìm số tự nhiên có 3 chữ số abc thỏa mãn abc = ( a + b + c)3ai nhanh nhất sẽ đc tik 3 tk 11/10/2021 Chia tài sản thừa kế không có di chúc 03/10/2021 Thai 3 tuần tuổi đã vào tử cung chưa 04/10/2021 Xem lịch sử sử dụng máy tính win 7 12/10/2021 Chiều dài kênh cổ tử cung khi mang thai 07/10/2021 Mã bưu điện quốc tế của việt nam 2018 08/10/2021