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Division of rational expression and online algebra help

Posted On : Sep-29-2011 | seen (295) times | Article Word Count : 536 |

Friends algebra is the most important section in maths and today we are going to see the basic concepts behind algebraic expressions and rational expressions.
Friends algebra is the most important section in maths and today we are going to see the basic concepts behind algebraic expressions and rational expressions. Before going further, we need to understand that what is an expression and how we can simplify the expression? Expression is a finite combination of symbols like constants, variables, operations, relations and syntactic entities that are well formed according to the rules applicable in the context. There is no standard way to solve expressions, as various kinds of expressions are present.



Algebra is a branch of mathematics which deals with the study of the rules of operations and relations. Algebraic expressions is basically an expression having one or more variables made up of signs and symbols of algebra. Let's take an example to understand it better:

x + 4z = c

Here x and z are variables, c is a constant and 1 is a coefficient of variable x, 4 is a coefficient of variable z and + is the operator.

As we move towards higher education, the algebra problems becomes tougher and more complex.

A daily practice will help you to get confidence. There are many online math tutorials and algebra solvers available will help you to understand it better, as algebra help online is one of the best option to solve our Algebra problems.



Fractions: A number that can be represented as the ratio of two numbers known as fractions. For example : 5/2

here 5 is numerator and 2 is denominator. The most important condition for fraction is that denominator can never be a zero.

For simplifying fractions, following are some rules to follow:

Adding and subtracting of a fraction is done by using this property: x/y + a/b = xb + ay / yb.

For multiplying a fraction, this property comes into account: a/b x c/d = ac/bd

and for dividing a rational fraction we use this property: a/b divide c/d = ad/bc.

For simplifying rational expressions , we must need to have a good factoring skills. It requires two steps in solving a rational expressions. Factor the numerator and denominator is the first step and the second step is divide all common factors that the numerator and denominator have.



A complex fraction is a rational expression that has a fraction in its numerator, denominator or both. Example to show the complex fraction: a/b / c/d. The sign / denotes the division of two numbers or variables.

Simplifying a complex fraction involves following steps: rewrite the numerator and denominator so that, each of them form a single fraction. Divide the numerator by the denominator by multiplying the numerator by the reciprocal of the denominator. Now in the end simplify the rational expression.

Dividing rational expressions is the most difficult part as it requires a key skills. Now we are going to learn how can we divide a rational expression:

12/5 divide by9/5 then we need to take a reciprocal of 9/5 . The reciprocal of 9/5 is 5/9.

Multiply 12/5 with the reciprocal. 12/5 x 5/9 = 12/9 = 4/3.

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Keywords : algebra help online, simplifying rational expressions, dividing rational expressions,

Category : Reference and Education : Reference and Education

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