## What are the Basic and Right Rules for Dividing Fractions?

Fractions have its set of rules for multiplication, division, subtraction and also for addition. Multiplication of fractions is easy, but the division of fractions it little difficult. However, if you know the rule of dividing fractions, you can easily divide two fractions very easily. Fraction is one of the important concepts of the algebra, and you should know the operations on fractions like the multiplication and the division. It is important as you will come across with fractions while studying the algebraic equation and various problems of algebra. Here, you can get informed about the division as well as multiplication of fractions.

Before you study how to divide the fractions, you should know how to multiply fractions. It will help you in the division also. If you do not know how to multiply two fractions, you can’t divide the fractions. The rule of multiplication is very simple. Multiply the denominator of the first fraction with another fraction and just like multiply the numerators of both fractions. So you will get a new fraction after multiplication.

How to divide the fractions?

The basic rule for the division of fractions is simple. Dividing fractions is followed by the reciprocal and multiplication. It’s the single operation in which you have needed to reciprocal a fraction. You can better get it by reading the simple steps of division listed below.

Step 1: first invert the divisor fraction only and use the inverted divisor.

Step 2: now, rewrite the problem and replace the multiplication sign “x” to the division sign “÷” and also replace the divisor fraction by its reciprocal.

Step 3: multiply the numbers at the numerator place of both fractions.

Step 4: multiply the numbers at the denominator place of both fractions.

Step 5: if possible, reduce the fraction obtained by multiplication into its lowest form.

Example:

Important thing to consider

But keep in mind that you have only to reciprocal only a single fraction. So, do not reciprocal or invert both the fractions which you are using for the division. So, you have only required inverting the divisor fraction only. There is no need to invert the dividend according to the rule of fraction division. In simple words, only invert the second fraction and use the first fraction as it is to solve fraction division problems. It is the most important consideration for dividing fractions correctly.

The same rule will be followed in the problems of dividing a fraction by a whole number. You have to invert the whole number in this case as the whole number is the divisor. So, the whole number will automatically convert into a fraction. You will get a new fraction and then multiply the numerators and denominators.

In this case, convert the whole number into its reciprocal by putting 1 in the numerator and the number at denominator place. So five becomes 1/5, and it is the reciprocal of that number.

Thus, you can easily get the right solution of the dividing fractions problems. You can divide a fraction by another fraction by following the reciprocal and multiplication rule.

## What is a factoring method in mathematical aspects?

First, it is important for us to understand what a “factoring” means in mathematical point of view. It means that two numbers have to multiply to equal constant term “c” and yet again sum up to “b” the coefficient on the x term. This method is used to solve quadratic equations that are factor able. So, the factoring calculator tries to solve the equation of it as long as the right values of the coefficients have been fed to that calculator.

Normally, the quadratic equation takes the form of  whereby the values of a, b and c are known while that of x has to be solved or obtained from the equation after it has been solved. In other words, it is safe to say that a, b and c are the numerical coefficients of the given quadratic equations.

To understand the factoring formula better, it is best to illustrate it using an example.

### Solving quadratic equations using factoring method

We can take an equation like  and have been told to factor it.

First, we have to find the factors of 6 that add up to 5. But because we can write 6 as the product of 2 and 3, and the two also add up to 5, i.e. 2+3=5. Then, I will have to use 2 and 3 instead of the initial 6.

The above polynomial can be simplified further into the form of (x + m) and (x + n)

Therefore, it is all right to rewrite is this way (x + 2) (x +3).

= (x + 2) (x +3). You can leave it there or continue to get the values of x, which will be

X = – 2 and x =-3 However, this really won’t change anything. So you can leave it at the (x + 2) (x +3) point.

We can take a look at one more example for you to understand it clearly.

Factor,

The best way to approach such the problem is to apply the differences of squares rule which is

=(x + y) (x – y)

Therefore, = ((x – 2)-3) ((x – 2) +3). Simplifying it further will land us on these solutions:

(x – 5)(x + 1)

These two examples have been clearly explained. You can look for many other examples online or on books. There is this website that will save you a lot of time since it has many examples that have been explained step wise. The site is www.quickmath.com. You can visit the page and look for the factoring page within the home page. When you click on us, you will be redirected to a web page that contains the information I am talking about.  You can also raise the alarm if you think the answer they gave is not correct. You will have to send them an email and clearly, tell them what you think is the right answer, and I am sure they will update it immediately.

## Excellent Online Software to Solve the Mathematical Questions

Undoubtedly mathematics is the favorite subject of many students. They use various skills to solve the mathematical questions. But still every student has to face when they find the difficult questions related to algebraic, trigonometry or statistic level. As you have seen we find lots of difficulties during solving the quadratic equations.  If you are one of them then now you won’t need to worry about this. You can easily solve the difficult question by applying the easiest methods. You just need to use the online mathematical software and get the excellent solution to solve all types of mathematical questions of all standards. Whether you are in school, college or in university, you can use all standard of mathematical formula. It is the excellent online software where you can solve the difficulties quadratic equations with the easiest methods.

## Best Online Software for Students and Teacher

Sometimes many students use their own unique way to solve the mathematical questions and teacher disagrees with it. But now after using the online software you can use the exact and same methods that your use in the classroom. Surely you can take your career to the next after using this amazing online software. You will find quadratic equation calculator in this software which helps in solving all kind of quadratic equations in an easy method. Along with the students, teachers can also use this online mathematical online software and teach the students in the excellent and easiest way. This online software is widely in used and become the first choice of many students. You can also get the advantages of using this software and solve all kind of mathematical questions instantly.

### Solves all Standard of Mathematical Questions

You can use this online software to solve the logarithms, quadratic equations, complex numbers, trigonometry, statistics and many more. It is very helpful in solving all kind of mathematical questions and also provide the tutorial to get the basic knowledge about the math question. It also provide the easiest methods to learn the difficult mathematical formula. Surely you will get lots of benefits after using the mathematical online software. You would able to learn how to solve the difficult questions in easiest methods. This helps in saving your time and money. Especially quadratic equation calculator is the best calculator you ever find to solve the difficult quadratic equations. It comes with great features and provides lots of advantages to the math’s students.

#### Get Solution for all Mathematical Topics

The online software covers up the all mathematical topics. No matter in which standard you are, you can easily solve the mathematical questions. Whether you are reading algebra, logarithm, trigonometry or statistic, this online software is the ultimate solution for you, You can use it to learn the mathematical formula, getting methods to solve questions or for the basic tutorial to make the strong base in career, Moreover  this online software is incredible for quadratic equation calculator which solves the quadratic equations instantly. To achieve great success in your career, this online software is the best and lucrative option for you.

## Various Tools to Solve Greatest Common Factor Problems Easily

Most of the students find math very difficult subject due to lots of formula and equations but in fact math is very interesting subject to learn new things. If you are also one of those students who find the math hard to learn, you can get help of technology to make it easy. Technology is making it possible to solve the math problems easily by using short cut methods. The students can use various online tools and computer software to get help to solve the math questions.

Online tools to solve these math problems:

If you are also looking for such solution, you can get help to solve the greatest common factor problems. The online tools are free to get and anyone can use it to get help in math problems. If you also want to use these tools, you can use in any device. Whether you have any computer or smart phone, you can use these online math solving tools. By using the math solving tools, students will get problem of all problems of algebra, numbers, equations, matrices and other categories. So it is best option that you can get the online tool to solve desired math questions.

The best thing about these tools is that students can use the tool in different devices running on different platforms. It is perfect option to save time in getting solution for math problems. You can also use other tools to solve problems of greatest common factor. Lots of tools are available for computers and smart phones that can be used to solve various math problems.

Use online tools easily for different questions:

It is very essential that the online tools have simple and easy to use interface because different students will use it. If you are using the online math solver tools, you will get very user friendly interface. The students just need to choose the topic of math from various categories like algebra, numbers, equations, matrices and greatest common factor. Then you can get the instant solution by putting the question of math. These tools use simplest and short methods to solve these questions.

The online math solving tools are not only made to provide quick solutions but the students will learn new solutions for various problems. In exams, the students need simple and short methods to find quick solutions of math problems. These tools are made in a way that you can learn easiest process to find the answer of various meth questions.

Every topic of math is based on the formula. The students, who are unable to learn these long formula of different topics, can easily find short and alternate formula from these kinds of tools. These are best methods to add some fun while learning the math. They are making it effective for all kinds of students who face problems to learn the math topics. Every student will find these tools effective and easy to use to find proper and easy solutions for various math topics and questions.

## Add Improper and Mixed Fractions in Seconds

Adding the fraction is easy and simple. But it becomes hard when you have to solve tough and complicated fractions. Most of students do it in simple way and some are using traditional tricks and methods to solve. This will take more and more time to add the large and complicated fractions. Do you want to get efficient way to add fractions? You can get best one for accomplishing your needs. There are various tools and option of software available for you to use it for your reasons. You can choose the best and unique features in software for adding fractions. The online application you solve your issues is best and convenient way. There is compatible software for your devices you can hire to reduce study time.

To solve the large fractions take long time and after that you find that the answer is not correct then you realize you wasted your time. You have to start the same question at starting points. Get rid of these problems and hire best study software for mathematical problems. You can maintain your needs in better manner. If you are facing any kind of issues related to adding fractions and for more like using formulate then you can get best solution in just few clicks.

• Add proper fractions: there are different types of fractions. If you are working your homework and facing problems to add fractions again and again then you can choose the features online tools. The fraction with smaller numerator and larger denominator is called as proper fraction. It is very easy to solve with the help of featured software. You can get easy access for doing all functions for add the different numbers.
• Calculate mixed numbers: while solving large and complicated equation many a time there are more functions requires for adding the mixed numbers. The number with whole number and fraction is called the mixed numbers. It is quite easy to get results for mixed number in couple of seconds. You can sort and do expression of adding fractions to get rid of and sort issues for taking long time.

Fast process and easy procedure to get results

When you are using the software for assist your issues to solve complicated questions and adding fraction for large equations then you need to save your time for further pending work. You have now options to get for your needs. There are several categories and tools available in software to resist the problems coming in between you and study. Reduce study time by using latest and advanced techniques along with your study. You can access fast while you are processing for your function at software. You have to submit your equation or adding fractions and there are separate to available and you just click on that tab after few seconds the results is on screen.

You can compare and crate graph for results at featured software. The software allows you to do various function for your wellness and to know the basic and aspects to gather general information. You can use the software for better preparation for future and increasing skills.

## Automatic and Quick Algebra Solver Online

Quick math allows solving mathematical problems automatically and quickly. It is an online tool helping to solve the problems related to expanding algebraic equations, solving and plotting quadratic equations, solving and plotting inequalities, plotting graphical equations and inequalities, calculus, and matrices.

Quick Math Algebra Solver: Algebra section of quick math allows you to manipulate algebraic problems to all sorts in a useful way. Using this algebra solver, you can crack the quandaries like

1. Expanding, factorizing and simplify any expression (Expand, Factorize, Simplification)
2. Canceling common factors within fractions (Cancel)
3. Splitting fractions up into smaller fractions (Partial fractions)
4. Joining two or more fractions together into a single fraction (Join Fraction)

Every command is divided into three types of solution: Basic, Intermediate and Advanced.

Benefits of using Quick math Algebra solver: To avail the complete benefits one must buy the pro version after registering online. It can solve the problems for you textbooks very easily. It helps you in understanding each and every step of the solution like a teacher. It can act as your 24/7 math tutor. You can get your work done quickly along with learning. It is economically beneficial with a cost less than one hour of live tuition.

Command of Quick math algebra solver: While exploring the array of entire commands of this algebra solver one can get the results based on certain ideas:

1. Expand: This command is used to rewrite the polynomials with all brackets, multiplying the polynomials w.r.t. to whole number powers provided and collect all the similar terms. The advanced option can be used to expand the trigonometric functions and modulus of any integer in the expression.
2. Simplify: This command involves the different combinations of simplification and chooses the one with the smallest number of parts. This command terminates common factors of a fraction and collects the similar terms. Using advanced function one can simplify trigonometric functions.
3. Cancel: This command revokes the common factors from denominator and numerator by canceling the greatest common divisor.
4. Factor: This command takes care of taking out common factors, factoring by pairs, quadratic trinomials, differences of two squares and sums and differences of two cubes. In advance option, one can discover the solutions like factoring trigonometric functions, factoring modulo any integer, factoring over the field of Gaussian integers (just the thing for those tricky sums of squares), and even extending the field over which factoring occurs with your own custom extensions.
5. Partial and Join Fraction: These commands allow one to split and join a rational function respectively. One can split the rational function into sum and difference of fractions. One can rewrite the number of fractions that are added or subtracted as a single fraction.

In a nutshell, using quick math algebra solver, a student can not only solve the hard problems but also learn how to solve them step by step in real time. It is quick, user-friendly and economic online tool for all mathematical problems.

## Basics of Simplify Calculator You Need to Know

Simplify Calculators are particularly intended to take care of logical issues in a less demanding way. These number crunchers can shift a great deal regarding valuing. There are logical number crunchers that can be acquired for few U.S. Dollars to thousands. This estimating relies on upon the components and the quality that specific model has on offer. Notwithstanding taking care of logical issues, these mini-computers are truly helpful in offering arrangements identified with cutting edge arithmetic. It is something that renders these devices extraordinary thus not quite the same as different sorts of devices in the market.

The best part of current simplify calculator is their capacity to store diverse capacities and recipes. Similarly, as with the instance of various projects, these capacities and recipes can without much of a stretch be made utilization of to settle cases in a great deal less demanding way. Besides, the inherent abilities in these adding machines are equipped for taking care of logical recipes like the ones utilized as a part of science and material science. Indeed, even the figuring identified with trigonometry in science can be understood effortlessly through these capacities. These elements are normal crosswise over cutting edge machines that are modified for charting, science or even insights. Strikingly, some organizations offer a system to associate these mini-computers with PCs to empower them to have an entrance to capacities introduce in logical adding machines.

The World Wide Web to has contributed in its particular manner to make figurines simple. There are sure sites that offer machines with various abilities. It is likewise observed in most cases that a simplify calculator can be utilized to transfer capacities and equations into a site in a manner that others can share it. A few mini-computers are known to exchange information straightforwardly starting with one Simplify Calculator then onto the next. It is made either made conceivable through wired or remote associations. Diverse elements display on these adding machines relies on upon the model being utilized. Costlier number cruncher models are known to have heaps of coveted elements.

Some teachers have distinctive ideas about these number crunchers. As indicated by few of them, the elements that are available in the number crunchers can confound the clients and can make certain less utilized components repetitive. As indicated by these individuals, a normal logical mini-computer ought to have important components that will make them helpful for understudies in figuring distinctive issues. Be that as it may, having an excessive number of these components is undesirable as they can without much of a stretch occupy the clients. No big surprise then that understudies are by and large recommended to purchase just certain models of logical number crunchers for their motivation. It is in this manner to their greatest advantage to get one those adding machines.

Simplify calculator can likewise be utilized as money related adding machines relying on the need. These adding machines are sufficiently proficient to ascertain the estimations of various speculations furthermore assess advance qualities. These components can infrequently be available in logical adding machines as inherent capacities or as additional items. Be that as it may, these capacities are not by any means the only ones present in the number cruncher. For understudies wishing to utilize this simplify calculator, there are a lot of decisions on the web. They just need to settle on watchful choice while picking them.