Fractions Addition

The whole thing is partitioned in two different pieces. Each piece is called fraction of the whole thing.A fraction represents the divided form of two numbers. It takes the general form of `(a)/(b)` . Here a represents the numerator value and b represents the denominator value. `(17)/(5)` is an example for fraction. Fractions are classified according to their values numerator and denominator which plays the important role in fractions addition table

Types of fraction

1.Proper Fraction

2.Improper Fraction

3.Mixed Fraction

4.Equivalent Fraction


Activities involved in fractions addition:

1. When we add two fractions with same denominator, those fractions are added directly.

For example:

`(2/3) + (7/3) = (2+7)/(3) = 9/3`   (here numerator is divided by denominator)

=3

2. When we add two fractions with different denominator, we have to find least common denominator.

`(2/3) + (6/9) = [(2xx3)+6]/(9) = (6+6)/(9) = (12)/(9)` (here numerator is divided by denominator)

=4/3

3. If mixed fraction is involved in fractions addition, we have to convert the mixed fraction to improper fraction. Then we have to check the denominators. If the denominators are different, we have to find least common denominator. Otherwise no problem.

2 ¾ + 5/4

Take the mixed fraction 2 ¾

Convert it to improper fraction as below

` [(2xx4)+3]/(4) = (8+3)/(4) = (11)/(4)`

Now we can do the fractions addition

`(11)/(4) + (5)/(4)= (11+5)/(4) = (16)/(4) = 4`