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Now I am going to discuss about the Rational Expressions problems. Before proceeding further, let's talk about rational numbers. In simple mathematical manner we can say that 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 to understand it better, The fraction 3/5 is rational expression. A number 5 is also a rational expression and we can write it in a form like 5/1.
A number 4.7 is also a number, we can also make it in a rational form : 47/10 further we can make it into mixed fraction.
Closure Property of Rational Number shows as:
x/y + a/b = xb + ay / yb and a/b divide c/d = ad/bc.
a/b x c/d = ac/bd.
For simplifying rational expressions , we must need to have a good factoring skills. It requires two steps in solving rational expressions. The first step is to factor the numerator and denominator. The second step to solve a given rational expression is to divide all common factors that the numerator and denominator have. Dividing a rational number is the most difficult part as it requires key skills. Now we are going to learn how can we divide a rational expression:
12/7 divide by9/14 then we need to take a reciprocal of 9/14 . The reciprocal of 9/14 is 14/9.
Multiply 12/7 with the reciprocal. 12/7 x 14/9 = 24/9 = 8/3 is the required answer.
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