Tuesday, May 25, 2010

Solving Fractions

Definition:

We all have learnt fractions and decimals in earlier classes. The study of fractions included proper, improper and mixed fractions as well as their addition and subtraction. We also studied comparison of fractions, equivalent fractions, representation of fractions on the number line and ordering of fractions.

Our study of decimals included, their comparison, their representation on the number line and their addition and subtraction. We shall now learn multiplication and division of fractions as well as of decimals

How to Do Fractions:

  1. In order to do fractions we first need to find the common factor of both the numerator and denominator (A common factor is any number that divides both the numerator and denominator). Like 3 divides 6 and 21.
  2. Then continue dividing the fraction with the common factor till there are no more common factors in the numerator and denominator.
  3. Now the fraction is called as simplified fraction as no common factors remaining which can divide both the numerator and denominator.

Example of simplifying fractions:

Lets take 12/14. Here both 12 and 14 are divisible by 2 so lets divide the fraction with 2.
So we get 12/14 = 6/7 Now 6/7 does not have any common factors so 6/7 is the simplified fraction
So both 18 and 42 are divisible with 2,3,6

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