Thursday, 9 February 2012

Multiplying Rational Expressions

Hi children! Previously we have discussed about equilateral triangle area calculator and Today we are going to learn about Multiplying Rational Expressions which is part of andhra pradesh secondary board.
Let’s recall rational numbers. The numbers which can be expressed in form of p / q , where p and q are integers are q is not 0 are called rational numbers. All mathematical operators, i.e., addition, subtraction, multiplication and division can be performed on rational numbers.  While multiplying rational expressions, we need to multiply numerator with the numerator and multiply the denominator with the denominator, unlike addition and subtraction, where we need to find the LCM (lcm calculator) of the denominators. With only simple multiplication we get the result.
Let us understand it more clearly with multiplying Rational Expressions example.
Solve 3/5 *2/7
In this case we observe that 3 and 2 are the numerators and 5 and 7 are the denominators. (Know more about Rational Expressions in broad manner, here,)
So we multiply 3 * 2 =6 and 5 * 7 = 35
= 6/35 Ans.
In the same way if we have three rational numbers say 2/5, 3/8 and 6/9 and we have to multiply three rational numbers then we get
   ( 2/5)* (3/8 ) * ( 6/9)
 We observe that 2, 3 and 6 are the numerators and 5 , 8 and 9 are the denominators
 So multiplying numerators and denominators we get:
 = ( 2 * 3 * 6 ) / ( 5 * 8 * 9 )
= 36 / 360
 Now converting them to lowest terms we divide both numerator and denominator by 36 and get
= (36÷ 10 )/ (360 ÷10)
 = 1 / 10 Ans.
We should also remember that when we multiply any rational number by 1, the number remains unchanged and when the rational number is multiplied by 0 the product is always 0.
In the next topic we are going to discuss Simplifying Rational Expressions
and if anyone want to know about Solving Inequalities with Rational Numbers then they can refer to Internet and text books for understanding it more precisely.

No comments:

Post a Comment