Sunday 19 February 2012

Fractions

Math Fractions are the numbers expressed in form of p/q where p and q are the whole numbers such that q <> 0.  Fractions are the part of a whole. It is expressed in form of numerator/denominator. If we write 3/5, here 3 is the numerator and 5 is the denominator. It means that a complete object is equally divided into 5 equal parts and 3, which is in the numerator represents that we are taking only 3 parts out of total 5 parts
If the fractions are written such that the denominators are same are called like fractions .In grade IV we as free math tutor online, will learn about solving fraction with same denominator.
Among 2/4, 3/6, 1/6, 3/7, and 1/9 which of them are like fractions?
   3/6  and 1/6 have the  same denominator , so they are like fractions.
Similarly the fractions which do not have same denominators are called unlike fractions.
On comparing like fractions, we must remember that fractions with smaller numerator are smaller than the fraction with larger numerator .
E.g.: Compare 3/7 and 2/7
As the denominators are same so  we only check the numerators and see that 3/7 > 2/7
If the numerators are same, then the number with a larger denominator is smaller
E.g. Compare 4/7 and 4/9
We find that thee numerators are same, so
  4/7 <  4/9
Let’s learn to solve fractions:
   Now let’s learn how to add or subtract the two like fractions.
  Add 3/5 and 1/5
Now we write it as
    = 3/5  + 1/5
Here the denominator are same so,
= ( 3 + 1 ) / 5
= 4/5 Ans It means that if 3/5 part of a whole and 1/5 part of a whole are added gives us 4/5 of a whole.

Similarly we can subtract like fractions too
1. Solve 5/9  - 2/9
     as the denominators are same and the fractions are like fractions, so we get
   = ( 5 - 2 ) /9
= 3/9 Ans
2. Subtract 3/5 from 7/5
  = 7/5 - 3/5
  = (7-3) /5
  = 4/5 Ans.

In upcoming posts we will discuss about Percents problems in mathematics and LCM, GCF, ratios and proportions. Visit our website for information on CBSE previous years 11 physics

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