1 . signed into law on June 30, 2000, provides a general rule of validity for electronic records and signatures for transactions in or affecting interstate or foreign commerce. X-3.1 . 1 . FD . agency, public corporation or any other legal or commercial entity. the Act. X.
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13Si. Below are multiple fraction calculators capable of addition, subtraction, multiplication, division, simplification, and conversion between fractions and decimals. Fields above the solid black line represent the numerator, while fields below represent the denominator. = ? ? Mixed Numbers Calculator = ? Simplify Fractions Calculator = ? Decimal to Fraction Calculator ResultCalculation steps = ? ? Fraction to Decimal Calculator = ? Big Number Fraction Calculator Use this calculator 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 make up said whole. For example, in the fraction of , 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 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. Addition 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. 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. 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 Multiples of 4 4, 8, 12 Multiples of 6 6, 12 The 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. Subtraction 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. Multiplication Multiplying fractions is fairly straightforward. Unlike adding and subtracting, it is not necessary to 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 and denominator. If possible, the solution should be simplified. Refer to the equations below for clarification. Division The process for dividing fractions is similar to 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 . When a is a fraction, this essentially involves exchanging the position of the numerator and the denominator. The reciprocal of the fraction would therefore be . Refer to the equations below for clarification. Simplification It is often easier to work with simplified fractions. As such, fraction solutions are commonly expressed in their simplified forms. for example, is more cumbersome than . The calculator provided returns fraction inputs in both improper fraction form as well as mixed number form. In both cases, fractions are presented in their lowest forms by dividing both numerator and denominator by their greatest common factor. Converting between fractions and decimals 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 101, the second 102, the third 103, 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 the number 4 is in the fourth decimal place, which constitutes 104, or 10,000. This would make the fraction , which simplifies to , 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 to powers of 10 can be translated to decimal form using the same principles. Take the fraction for example. To convert this fraction into a decimal, first convert it into the fraction of . Knowing that the first decimal place represents 10-1, can be converted to If the fraction were instead , the decimal would then be and so on. Beyond this, converting fractions into decimals requires the operation of long division. Common Engineering Fraction to Decimal Conversions 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. 64th32nd16th8th4th2ndDecimalDecimalinch to mm 1/64 2/641/32 3/64 4/642/321/16 5/64 6/643/32 7/64 8/644/322/161/8 9/64 10/645/32 11/64 12/646/323/16 13/64 14/647/32 15/64 16/648/324/162/81/4 17/64 18/649/32 19/64 20/6410/325/16 21/64 22/6411/32 23/64 24/6412/326/163/8 25/64 26/6413/32 27/64 28/6414/327/16 29/64 30/6415/32 31/64 32/6416/328/164/82/41/ 33/64 34/6417/32 35/64 36/6418/329/16 37/64 38/6419/32 39/64 40/6420/3210/165/8 41/64 42/6421/32 43/64 44/6422/3211/16 45/64 46/6423/32 47/64 48/6424/3212/166/83/4 49/64 50/6425/32 51/64 52/6426/3213/16 53/64 54/6427/32 55/64 56/6428/3214/167/8 57/64 58/6429/32 59/64 60/6430/3215/16 61/64 62/6431/32 63/64 64/6432/3216/168/84/42/
\bold{\mathrm{Basic}} \bold{\alpha\beta\gamma} \bold{\mathrm{AB\Gamma}} \bold{\sin\cos} \bold{\ge\div\rightarrow} \bold{\overline{x}\space\mathbb{C}\forall} \bold{\sum\space\int\space\product} \bold{\begin{pmatrix}\square&\square\\\square&\square\end{pmatrix}} \bold{H_{2}O} \square^{2} x^{\square} \sqrt{\square} \nthroot[\msquare]{\square} \frac{\msquare}{\msquare} \log_{\msquare} \pi \theta \infty \int \frac{d}{dx} \ge \le \cdot \div x^{\circ} \square \square f\\circ\g fx \ln e^{\square} \left\square\right^{'} \frac{\partial}{\partial x} \int_{\msquare}^{\msquare} \lim \sum \sin \cos \tan \cot \csc \sec \alpha \beta \gamma \delta \zeta \eta \theta \iota \kappa \lambda \mu \nu \xi \pi \rho \sigma \tau \upsilon \phi \chi \psi \omega A B \Gamma \Delta E Z H \Theta K \Lambda M N \Xi \Pi P \Sigma T \Upsilon \Phi X \Psi \Omega \sin \cos \tan \cot \sec \csc \sinh \cosh \tanh \coth \sech \arcsin \arccos \arctan \arccot \arcsec \arccsc \arcsinh \arccosh \arctanh \arccoth \arcsech \begin{cases}\square\\\square\end{cases} \begin{cases}\square\\\square\\\square\end{cases} = \ne \div \cdot \times \le \ge \square [\square] â–\\longdivision{â–} \times \twostack{â–}{â–} + \twostack{â–}{â–} - \twostack{â–}{â–} \square! x^{\circ} \rightarrow \lfloor\square\rfloor \lceil\square\rceil \overline{\square} \vec{\square} \in \forall \notin \exist \mathbb{R} \mathbb{C} \mathbb{N} \mathbb{Z} \emptyset \vee \wedge \neg \oplus \cap \cup \square^{c} \subset \subsete \superset \supersete \int \int\int \int\int\int \int_{\square}^{\square} \int_{\square}^{\square}\int_{\square}^{\square} \int_{\square}^{\square}\int_{\square}^{\square}\int_{\square}^{\square} \sum \prod \lim \lim _{x\to \infty } \lim _{x\to 0+} \lim _{x\to 0-} \frac{d}{dx} \frac{d^2}{dx^2} \left\square\right^{'} \left\square\right^{''} \frac{\partial}{\partial x} 2\times2 2\times3 3\times3 3\times2 4\times2 4\times3 4\times4 3\times4 2\times4 5\times5 1\times2 1\times3 1\times4 1\times5 1\times6 2\times1 3\times1 4\times1 5\times1 6\times1 7\times1 \mathrm{Radians} \mathrm{Degrees} \square! % \mathrm{clear} \arcsin \sin \sqrt{\square} 7 8 9 \div \arccos \cos \ln 4 5 6 \times \arctan \tan \log 1 2 3 - \pi e x^{\square} 0 . \bold{=} + Subscribe to verify your answer Subscribe Sign in to save notes Sign in Show Steps Number Line Examples simplify\\frac{2}{3}-\frac{3}{2}+\frac{1}{4} simplify\4+2+1^2 simplify\\log _{10}100 simplify\\frac{1}{x+1}\cdot \frac{x^2}{5} simplify\\frac{x^2+4x-45}{x^2+x-30} simplify\\frac{x^2+14x+49}{49-x^2} simplify\\frac{6}{x-1}-\frac{3}{x+1} simplify\\frac{5x}{6}+\frac{3x}{2} Show More Description Simplify algebraic expressions step-by-step Frequently Asked Questions FAQ What is simplify in math? In math, simplification, or simplify, refers to the process of rewriting an expression in a simpler or easier to understand form, while still maintaining the same values. How do you simplify trigonometry expressions? To simplify a trigonometry expression, use trigonometry identities to rewrite the expression in a simpler form. Trigonometry identities are equations that involve trigonometric functions and are always true for any value of the variables. How do you simplify expressions with fraction? To simplify an expression with fractions find a common denominator and then combine the numerators. If the numerator and denominator of the resulting fraction are both divisible by the same number, simplify the fraction by dividing both by that number. Simplify any resulting mixed numbers. Show more simplify-calculator en Related Symbolab blog posts Middle School Math Solutions – Polynomials Calculator, Factoring Quadratics Just like numbers have factors 2×3=6, expressions have factors x+2x+3=x^2+5x+6. Factoring is the process... Read More Enter a problem Save to Notebook! Sign in
Finite Math Examples Popular Problems Finite Math Solve for x 15^x=30 Step 1Take the natural logarithm of both sides of the equation to remove the variable from the 2Expand by moving outside the 3Divide each term in by and for more steps...Step each term in by .Step the left for more steps...Step the common factor of .Tap for more steps...Step the common by .Step 4The result can be shown in multiple FormDecimal Form
This question isn't at all clear. What do you mean, "solve for x?" Solving for x in the equation x+x+x=30 gets an answer of x = 10. But what's the point of the list? Or...do you mean, find three numbers from the list that add to 30? If that's the case, then the answer is that it can't be done. All the numbers in the list are odd. If you add an odd number to an odd number, you get an even number. If you then add a third odd number, you get an odd number. But 30 is an even number, which means that there's no way to do it. If you mean something else, please explain it better.
x 30 x 1 3
