Saturday, February 13, 2016

ADDITION OF FRACTION


Fraction is always a quite hard to deal. Dealing fractions with MDAS (Multiplication Division Addition Subtraction) as basic operation is really a big deal. Students seems to be helpless in solving problems involving fractions. By the use of calculator, fraction can be  done easily without understanding how did the answer arrived.

Fraction by definition is a part of a whole. A piece of something. It is very laborious to add fraction when it is dissimilar. (a fraction with no the same denominator). The process requires finding the LCD (Least Common Denominator). Finding the LCD alone is herculean. If you can not find the LCD, you can not end to the right solution. But there is an alternative way to add fraction the easily There is a formula provided below how to deal addition of fraction without finding the LCD.


In the formula "a and c" are the numerator.The "b and d" are the denominator. In this formula, simply get the product of "a and d" added by the product of "b and c". For the denominator, just multiply "b and d".The result would be the answer if it is reduced to lowest term. We will give a numerical example to better understanding. See the illustration below.


We will substitute each values of the given formula to each numerical proportion. In this illustration "a=2", "b=3", "c=4", and "d=5". We get the product of 2 and 5 which is 10, added to the product of 3 and 4 which is 12. The sum of 2 and 5 which is 10 and 3 and 4 which is 12 as the numerator is divided by the product of 3 and 5 which is 15 as denominator (see illustration). 


Notice that the result is improper fraction(a fraction whose numeration is higher than the denominator). We will convert the result into mixed number (a whole number and a proper fraction). In this illustration, the final result is 1 7/15 as final result (see below).



ADDITIONOFFRACTION

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