# CLASS-4EQUIVALENT FRACTION

EQUIVALENT FRACTION -

Fractions that represent same portion of the whole are called equivalent fractions.

In above first picture, we can observe that total blocks or square is 4

1

and out of 4, one block is green colored. So, the ratio is ------

4

Now, if we observed second pictured then we can find that there are 12 squares or blocks, out of which 3 blocks are green colored.

3           1

So, the ratio would be ------- = -------  (simplified form of 3/12)

12           4

In above first picture, we can observe that total blocks or square is 6

2

and out of 6, two blocks are yellow colored. So, the ratio is -----

6

2               1

After simplification of fraction ------ we get ------

6               3

Now, if we observed second pictured then we can find that there are 3 squares or blocks, out of which 1 block is yellow colored.

1

So, the ratio would be -------

3

1          2

so, we can say  ------ = ------     (equivalent fraction)

3          6

FINDING EQUIVALENT FRACTIONS -

We can get equivalent fractions of a given fraction by multiplying or dividing both the numerator and denominator by the same number (except zero).

12

EXAMPLE.1) Find the next three equivalent fractions to -------

15

12          2         24

Ans.)     ------- X ------ = ------

15          2         30

12          3          36

------- X ------ = ------

15          3          45

12          4        48

------- X ----- = -----

15          4        60

12           5          60

------- X ------- = ------

15           5          75

So, the equivalent fraction to -

24         36        48         60

------ = ------ = ------ = ------

30         45         60        75

12         12        12         12

Or, ------ = ------ = ------ = ------  (after simplification)

15         15        15         15