Online calculator correct decision by action. Difficulty in calculating school examples

Convenient and simple online calculator fractions with detailed solution maybe:

Add, subtract, multiply and divide fractions online,
Receive turnkey solution fractions with a picture and it is convenient to transfer it.

The result of solving fractions will be here ...

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Fraction sign "/" + - * :
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Our online fraction calculator has fast input. To get the solution of fractions, for example, just write 1/2+2/7 into the calculator and press the " solve fractions". The calculator will write you detailed solution fractions and issue copy-friendly image.

The characters used for writing in the calculator

You can type an example for a solution both from the keyboard and using the buttons.

Features of the online fraction calculator

The fraction calculator can only perform operations with 2 simple fractions. They can be either correct (the numerator is less than the denominator) or incorrect (the numerator is greater than the denominator). The numbers in the numerator and denominators cannot be negative and greater than 999.
Our online calculator solves fractions and brings the answer to correct form- reduces the fraction and highlights the whole part, if necessary.

If you need to solve negative fractions, just use the minus properties. When multiplying and dividing negative fractions, minus by minus gives plus. That is, the product and division of negative fractions is equal to the product and division of the same positive ones. If one fraction is negative when multiplied or divided, then simply remove the minus, and then add it to the answer. When adding negative fractions, the result will be the same as if you added the same positive fractions. If you add one negative fraction, then this is the same as subtracting the same positive one.
When subtracting negative fractions, the result will be the same as if they were reversed and made positive. That is, a minus by a minus in this case gives a plus, and the sum does not change from a rearrangement of the terms. We use the same rules when subtracting fractions, one of which is negative.

For solutions mixed fractions(of fractions with the integer part highlighted) just drive the integer part into a fraction. To do this, multiply the integer part by the denominator and add to the numerator.

If you need to solve 3 or more fractions online, then you should solve them one by one. First, count the first 2 fractions, then solve the next fraction with the answer received, and so on. Perform operations in turn for 2 fractions, and in the end you will get the correct answer.

Hi friends! Very rarely do I talk about really useful programs which can easily make our life easier and save our time.

In two weeks already the first of September, what does that mean? That's right, it's the start of the school year. Someone to school, someone to university and others educational establishments. It's sad, of course, but you also need to learn :). Therefore, today I will tell you about a program that will greatly help in this difficult process. Well, the math will definitely be easier.

Today I will tell you about the LoviOtvet program, which I learned about not so long ago (it’s a pity, I would have known when I was still at school, perhaps there would have been less deuces in mathematics :)). To be honest, I never liked mathematics, I didn’t really know it, and all these equations were agony for me. Both at school and at university. Or maybe I just didn’t want to understand it, but it doesn’t matter, today is not about that :).

Let's get back to the program. CatchAnswer- it's a powerful tool (I wrote a calculator in the title, but it's more than just a calculator), with which you can solve a variety of mathematical problems (both simple and complex). And yet, the program shows all the stages of the solution, that is, you will not only get an answer, but you will see all the stages of the solution. For example, solve an equation and see the solution in a column - this is very cool. Indeed, very often the final answer will not help us very much, because we need to describe the decision process itself.

What can be done with this program?

Examples of different complexity
Equations (linear and square)
Perform operations with natural numbers
Expression simplification
Work with fractions

And much more.

Features of the program Loviotvet

Display of solution steps
The program shows the result on a notebook sheet.
Beautiful, simple and thoughtful interface (you can quickly change the color of the program)
There are versions of the program for mobile phones (java), Android, Apple.
The program is developing.

Where to download and how to install the Catch Answer solution?

By the way, while writing the article, I found the online version of the solution located at http://calc.loviotvet.ru/. But not all functions are available there. Therefore, it is better to download the program and install it on your computer.

The program is free, so just download from the official site and install. Go to the page http://www.loviotvet.ru/download/. And click on the link next to the Windows icon.

Save the setup file, or run it right away. The installation process itself is very simple. I think you will understand :). After installation, a shortcut to the program should appear on the desktop.

You may have noticed that on the download page there are also versions for mobile phones and for Android and iOS platforms. This means that you can set yourself a Catch Answer on mobile phone, smartphone, tablet, etc. This is very good, because such a program should always be with you.

Overview and work with the program

The main window of the program looks like this:

As you can see, everything is very simple. On the left are all the buttons, switches, etc. By the way, the additional panel can be hidden. At the top is a line in which we write the task itself. And below is a sheet on which we will withdraw the solution after clicking on the Answer button.

Here is a demo of the function with the output of the solution steps (even 2 + 2 can be painted :)):

On the left, you can choose how to output the solution.

Service for solving equations online will help you solve any equation. Using our site, you will not only get the answer to the equation, but also see a detailed solution, that is, a step-by-step display of the process of obtaining the result. Our service will be useful for high school students and their parents. Students will be able to prepare for tests, exams, test their knowledge, and parents will be able to control the solution of mathematical equations by their children. Ability to solve equations mandatory requirement to schoolchildren. The service will help you self-learn and improve your knowledge in the field of mathematical equations. With it, you can solve any equation: quadratic, cubic, irrational, trigonometric, etc. online service but priceless, because in addition to the correct answer, you get a detailed solution to each equation. Benefits of solving equations online. You can solve any equation online on our website absolutely free of charge. The service is fully automatic, you do not have to install anything on your computer, you just need to enter the data and the program will issue a solution. Any calculation errors or typographical errors are excluded. It is very easy to solve any equation online with us, so be sure to use our site to solve any kind of equations. You only need to enter the data and the calculation will be completed in seconds. The program works independently, without human intervention, and you get an accurate and detailed answer. Solving the equation in general view. In such an equation, the variable coefficients and the desired roots are interconnected. The highest power of a variable determines the order of such an equation. Based on this, for the equations use various methods and theorems for finding solutions. Solving Equations of this type means finding the desired roots in general terms. Our service allows you to solve even the most complex algebraic equation online. You can get both the general solution of the equation and the private one for the numerical values of the coefficients you specified. To solve an algebraic equation on the site, it is enough to correctly fill in only two fields: the left and right parts of the given equation. Algebraic equations with variable coefficients have an infinite number of solutions, and by setting certain conditions, particular ones are selected from the set of solutions. Quadratic equation. The quadratic equation has the form ax^2+bx+c=0 for a>0. Solving Equations square view implies finding values x for which the equality ax^2+bx+c=0 is satisfied. To do this, the value of the discriminant is found by the formula D=b^2-4ac. If the discriminant less than zero, then the equation has no real roots (the roots are from the field of complex numbers), if equal to zero, then the equation has one real root, and if the discriminant is greater than zero, then the equation has two real roots, which are found by the formula: D = -b + - sqrt/2a. To solve a quadratic equation online, you just need to enter the coefficients of such an equation (whole numbers, fractions or decimal values). If there are subtraction signs in the equation, you must put a minus in front of the corresponding terms of the equation. Decide quadratic equation online is also possible depending on the parameter, that is, the variables in the coefficients of the equation. Our online service for finding common solutions. Linear equations. For solutions linear equations(or systems of equations) four main methods are used in practice. Let's describe each method in detail. Substitution method. Solving equations using the substitution method requires expressing one variable in terms of the others. After that, the expression is substituted into other equations of the system. Hence the name of the solution method, that is, instead of a variable, its expression through the rest of the variables is substituted. In practice, the method requires complex calculations, although it is easy to understand, so solving such an equation online will save time and make calculations easier. You just need to specify the number of unknowns in the equation and fill in the data from linear equations, then the service will make the calculation. Gauss method. The method is based on the simplest transformations of the system in order to come to an equivalent system triangular. The unknowns are determined one by one from it. In practice, it is required to solve such an equation online with detailed description, thanks to which you will master well the Gauss method for solving systems of linear equations. Write down the system of linear equations in the correct format and take into account the number of unknowns in order to correctly solve the system. Cramer's method. This method solves systems of equations in cases where the system has a unique solution. The main thing mathematical action here is the calculation of matrix determinants. The solution of equations by the Cramer method is carried out online, you get the result instantly with a complete and detailed description. It is enough just to fill the system with coefficients and choose the number of unknown variables. matrix method. This method consists in collecting coefficients for unknowns in matrix A, unknowns in column X, and free terms in column B. Thus, the system of linear equations is reduced to a matrix equation of the form AxX=B. This equation has a unique solution only if the determinant of the matrix A is non-zero, otherwise the system has no solutions, or an infinite number of solutions. The solution of equations by the matrix method is to find the inverse matrix A.

Instruction

There are four types of mathematical operations: addition, subtraction, multiplication and division. Therefore, there will be four types of examples with. Negative numbers inside the example are highlighted so as not to confuse the mathematical operation. For example, 6-(-7), 5+(-9), -4*(-3) or 34:(-17).

Addition. This action can look like: 1) 3+(-6)=3-6=-3. Replacing the action: first, the brackets are opened, the "+" sign is reversed, then the smaller "3" is subtracted from the larger (modulo) number "6", after which the answer is assigned the larger sign, that is, "-".
2) -3+6=3. This one can be written as - ("6-3") or according to the principle "subtract the smaller from the larger and assign the sign of the larger to the answer."
3) -3+(-6)=-3-6=-9. When opening, the replacement of the action of addition by subtraction, then the modules are summed up and the result is given a minus sign.

Subtraction.1) 8-(-5)=8+5=13. The brackets are opened, the sign of the action is reversed, and an addition example is obtained.
2) -9-3=-12. The elements of the example are added together and get common sign "-".
3) -10-(-5)=-10+5=-5. When opening the brackets, the sign changes again to "+", then from more the smaller number is subtracted and the sign of the larger number is taken from the answer.

Multiplication and division. When performing multiplication or division, the sign does not affect the operation itself. When multiplying or dividing numbers, a minus sign is assigned to the answer, if numbers with the same signs, the result always has a plus sign. 1)-4*9=-36; -6:2=-3.
2)6*(-5)=-30; 45:(-5)=-9.
3)-7*(-8)=56; -44:(-11)=4.

Sources:

table with cons

How to decide examples? Children often turn to their parents with this question if homework needs to be done. How to correctly explain to a child the solution of examples for addition and subtraction of multi-digit numbers? Let's try to figure this out.

You will need

1. Mathematics textbook.
2. Paper.
3. Handle.

Instruction

Read the example. To do this, each multivalued is divided into classes. Starting from the end of the number, count off three digits and put a dot (23.867.567). Recall that the first three digits from the end of the number to units, the next three - to the class, then there are millions. We read the number: twenty-three eight hundred sixty-seven thousand sixty-seven.

Write down an example. Please note that the units of each digit are written strictly under each other: units under units, tens under tens, hundreds under hundreds, etc.

Perform addition or subtraction. Start doing the action with units. Write the result under the category with which the action was performed. If it turned out to be a number (), then we write the units at the place of the answer, and add the number of tens to the units of the discharge. If the number of units of any digit in the minuend is less than in the subtrahend, we take 10 units of the next digit, perform the action.

Read the answer.

The order of the multiplication operation

The essence of the multiplication operation is based on a simpler arithmetic operation- . In fact, multiplication is the summation of the first factor, or multiplicand, such a number of times that corresponds to the second factor. For example, in order to multiply 8 by 4, you need to add the number 8 4 times, resulting in 32. This method, in addition to providing an understanding of the essence of the multiplication operation, can be used to check the result obtained by calculating the desired product. It should be borne in mind that the verification necessarily assumes that the terms involved in the summation are the same and correspond to the first factor.

Solving multiplication examples

Thus, in order to solve , associated with the need to carry out multiplication, it may be enough to add a given number of times required number first multipliers. Such a method can be convenient for performing almost any calculations associated with this operation. At the same time, in mathematics quite often there are typical ones, in which standard single-digit integers participate. In order to facilitate their calculation, the so-called multiplication was created, which includes a complete list of products of positive integers. single digits, that is, numbers from 1 to 9. Thus, once you have learned , you can significantly simplify the process of solving multiplication examples based on the use of such numbers. However, for more complex options you will need to perform this mathematical operation yourself.

Number multiplication operation

There are three main elements involved in the multiplication operation. The first of these, which is commonly referred to as the first factor or multiplicand, is the number that will be subjected to the multiplication operation. The second, which is called the second factor, is the number by which the first factor will be multiplied. Finally, the result of the multiplication operation carried out is most often called the product.

It should be remembered that the essence of the multiplication operation is actually based on addition: for its implementation, it is necessary to add together a certain number of first factors, and the number of terms in this sum must be equal to the second factor. In addition to calculating the product of the two factors under consideration, this algorithm can also be used to check the resulting result.

An example of solving a multiplication task

Consider solutions to the multiplication problem. Suppose, according to the conditions of the assignment, it is necessary to calculate the product of two numbers, among which the first factor is 8, and the second is 4. In accordance with the definition of the multiplication operation, this actually means that you need to add the number 8 4 times. The result is 32 - this is the product considered numbers, that is, the result of their multiplication.

In addition, it must be remembered that the so-called commutative law applies to the multiplication operation, which establishes that changing the places of factors in the original example will not change its result. Thus, you can add the number 4 8 times, resulting in the same product - 32.

Multiplication table

It is clear that to solve in this way a large number of examples of the same type is a rather tedious task. In order to facilitate this task, the so-called multiplication was invented. In fact, it is a list of products of integer positive single-digit numbers. Simply put, a multiplication table is a collection of results of multiplication between each other from 1 to 9. Once you have learned this table, you can no longer resort to multiplication whenever you need to solve an example for such prime numbers, but simply recall its result.