Simplifying Rational Expressions

Simplifying Rational Expressions Simplifying Rational Expressions Rational Numbers are the most interesting and important section in number system. Sometimes it becomes so difficult to solve a rational expressions, as rational numbers comes with an expressions or decimal numbers. So today we are going to understand the basic concepts of rational numbers and how we can solve the problems of rational numbers. Before going forward we need to know the basic of rational numbers. A rational number is an expression which can be written as a fraction a/b. Here a is the numerator and b is a denominator. The most important thing to understand is that denominator can never be zero. Let's take an example: the numbers 1/3 and -6/1 are rational numbers. For simplifying rational expressions , we must need to have good factoring skills. It requires two steps in solving a rational expression. Simplify rational expressions :- The first step is to factor the numerator and denominator and the second step is divide all common factors that the numerator and denominator have. Dividing a rational number is the most difficult part as it requires key skills. 18/5 divide by3/5 then we need to take a reciprocal of 3/5 . The reciprocal of 3/5 is 5/3. Know ore About :- Rational Expressions Applications

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In final step we need to Multiply 18/5 with the reciprocal. 18/5 x 5/3 = 6. An inequality tells that two values are not equal. For example a ? b shows that a is not equal to b. To solve inequalities, we need to learn the symbols of inequalities like the symbol < means less than and the symbol > means greater than and the symbol ? means less than or equal to etc. There are some principles onto which Inequalities solutions depends. Addition principle for solving problems of Inequalities is - If a > b then a + c > b + c Multiplication principle for solving problems which deals in multiplicative Inequalities - If a >b and c is positive, then ac > bc. If a > b and c is negative, then ac < bc (notice the sign is reversed) An expression is a combination of symbols or variables or operators with symbols that are well-formed according to the rules applicable in the context at hand. When we simplify the expression, an equivalent expression is found that is simpler than the original one. Sometimes the expression formed becomes very complicated, then it is very difficult to solve such type of expressions. Various Homework helpers are available over the Internet for free to solve such expressions. One of the difficult operation is adding and subtracting rational expressions because as in regular expression you have to convert to common denominators similarly, you have to do with rational expression. If you don't like adding fractions then you will definitely hate rational fractions but no need to take tension as you can do all this with tutorvista math help. When you simplify rational expressions, you need to evaluate that expression and with this you will be able to know which values would cause division by zero, so just by evaluating you can avoid the use of those values. You must be familiar with simple multiplication and division and with multiplying regular fractions. In case of regular fraction multiplication is much easier then adding and subtracting. The same is the case with multiplying rational expressions. The multiplication of rational expression is similar as to regular fractions. The main problem that student faces while multiplying and dividing a rational is illegitimate canceling, in which they try to cancel the terms rather then factors. Online math help offered by tutorvista will solve all your other queries related to this topic and other maths topics.