CLASS-4
CONCEPT OF FRACTION

CONCEPT OF FRACTION

If anything is divided into two or more pieces, then each piece is called the fraction of the whole thing.

fraction

In the above picture we can observe that, the rectangular diagram has been divided into 9 small rectangular blocks and among them, 5 blocks have been colored.

                                                                                                                                          Colored Blocks 

So, proportionate/fraction of colored block is = ----------------- 

                                                         Total blocks

                                                  =   5/9

It is happen only through 1/9 + 1/9 + 1/9 + 1/9 + 1/9 = 5/9

And , similarly proportionate/fraction of color less block is = 1/9 + 1/9 + 1/9 + 1/9 =  4/9.

In the above picture big blocks are divided into 12 blocks, so the value of every block is 1/12. There are three different colors, so we can say that there are three colors of blocks with the same value.

                                       imagine the value of big block 1 

Each small block’s value defines = ----------------------------   

                                       Big block divided into no. of pieces

                                   =   1/12

Total no. of  Orange blocks = 1/12 + 1/12 + 1/12 + 1/ 12 = 4/12

Total no. of Blue blocks = 1/12 + 1/12 + 1/12 = 3/12

Total no. of Red blocks = 1/12 + 1/12 + 1/12 + 1/12 + 1/12

                          = 5/12.

So, Big blocks = Tot. Orange blocks + Tot. Blue Blocks + Tot. Red Blocks

                          =  4/12 + 3/12 + 5/12

                          = (4+3+5)/12

                          = 12/12 = 1

So, it can be proved that 24 small different color blocks by addition makes big blocks or small blocks are the part of the said big blocks.

In the above picture big blocks are divided into 24 blocks, so the value of every block is 1/24. There are three different colors, so we can say that there are three colors of blocks with the same value.

                                          Imagine value of big block 1   

Each small block’s value defines = ----------------------------- 

                                      Big block divided into no. of pieces

                                   =  1 / 24

Total no. of  Purple blocks = 1/24 + 1/24 + 1/24 + 1/ 24 + 1/24

                              =  5/24

Total no. of Blue blocks = 1/24 + 1/24 + 1/24 + 1/24 + 1/24

                           = 5/24

Total no. of Red blocks = 1/24 + 1/24 + 1/24 + 1/24 + 1/24 + 1/24 + 1/24 + 1/24

                           =  8/24

Total no. of Green blocks = 1/24 + 1/24 + 1/24 + 1/24 + 1/24 + 1/24 

                              =  6/24.

So, Big blocks = Tot. Purple blocks + Tot. Blue Blocks + Tot. Red Blocks + Tot. Green blocks

                          =  5/24 + 5/24 + 8/24 + 6/24

                          = (5+5+8+6) / 24

                          = 24/24 = 1

So, it can be proved that 24 small different color blocks by addition makes big blocks or small blocks are the part of the said big blocks.

Now we will learn, how to add & subtract fraction value

New Fact About Fraction –

In fraction there are two part, these are ‘Denominator’ & ‘Numerator’     

                            Numerator

Fraction =  -----------------

                 Denominator

The ‘Denominator’ shows how many equal parts the whole has been divided into and it is written under the horizontal line, and the number which is written above the horizontal line is called ‘Numerator’ .