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Charles O. Goulet has a BA in history and BEd in English literature. He has several historical novels published that are available through , , Barnes and Noble, and other bookstores

Charles O. Goulet
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go1c@ How to divide rational expressions
Posted On : Sep-22-2011 | seen (62) times | Article Word Count : 389 |

Friends, rational numbers are the most interesting and important section in number system. Sometimes it becomes very difficult to solve a rational expression. Friends, rational numbers are the most interesting and important section in number system. Sometimes it becomes very difficult to solve a rational expression. So today we are going to understand the basic concepts of rational numbers and how we can solve the problems. Now the first question arises is what is a rational number? Rational number is an expression which can be written as a fraction ab. Here 'a' is the numerator and 'b' is the denominator. The most important thing to understand is that denominator can never be zero(0).

Let's take an example:

The numbers 53 and -611 are rational number.

A number 5 is also an expression : 51 = 5 and any number in decimal form also an expression for example: 3.33 is a rational number : 3.33 = 333100.

Some theorems which tells about Rational expressions:

First: Any integer is a rational number. For example a number n = n1.

Second: The representation of rational number as a fraction is not unique. Like 34 = 68 = -9-12.

Third : Every nonzero rational number or a rational that do not contain a 0 has a representation in lowest term.

Closure property of rational number is shown as:

xy + ab = xb + ay yb and ab divide cd = adbc.

ab x cd = acbd.

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.

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

125 divide by 95 then we need to take a reciprocal of 95 . The reciprocal of 95 is 59.

Multiply 125 with the reciprocal. 125 x 59 = 129 = 43.

Sometimes solving a rational expression becomes a very hard task so for solving this Wholesale NFL Jerseys China , various online math solvers are available which reduces the human efforts and shows the result with each step. This will help to understand the rational problems in a better manner.
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