Addition of Fraction

  Addition of Fraction

Where the denominators of two fraction are the same they can be added or subtracted without any alteration 

For example 

2         1          3
-   +     -    =    -
5         5          5

VERTICALLY AND CROSSWISE
Addition and subtraction of fractions are usually found to be very difficult as the method is complicated and hard to remember. But the Vertically and Crosswise formula gives the answer immediately.
Find
2         1
-   +     -
3         7
We multiply crosswise and add the get the numerator: 2×7 + 1×3 = 17,
then multiply the denominators to get the denominator: 3×7 = 21

=    17/21

Where one denominator is a factor of the other then the fraction with that  factor 

is multiplied up until that denominator are the same.the sutra used is proportionately  
  for example 

2          4
-   +     --
5         15

6             4
-   +        --
15          15

10         2
 -    =     --
15        15

By inception  we can see that 5 is a factor of 15 therefor 2/5 multiply by 3 gives 6/15.

when we add this both fraction then its 10/15 reduse to lowest term its become 2/3

Find

     4          1          17
  7 -   + 2   -   =9    -
     5          3          15
 Here we can add the whole parts and the fractions separately: for the whole ones 7+2 = 9 and for the fractions: 4×3 + 1×5 = 17, the numerator, and 5×3 = 15, the denominator.
                           
     4          1              2
  7 -   + 2   -   = 10    -
     5          3             15