CLASS-6IDENTIFICATION OF EQUIVALENT FRACTION

HOW TO CHECK GIVEN FRACTION ARE EQUIVALENT OR NOT ?

Suppose there are two fraction  x / y  and u / v

Now, we will cross multiply of that said two fraction

x              u

=  -------  X  -------

y              v

If two cross products are equal, xv = yu then we can say x / y and u / v are equivalent fraction of each other. And if xy = uv is not equal, then given fractions are not equivalent.

Q1) Are the fractions 5/15 and 3/9 are equivalent ?

5                  3

Ans.)        ----------   x  ---------

15                  9

5                  3

=       ----------   x  ---------

15                  9

So,   5 x 9 = 45    and     15 x 3 = 45

Here we can see that, both cross products are equal, so we can say both the fractions are equivalent.  (Ans.)

Q2) Are the fractions 3/8 and 4/12 are equivalent ?

3                   4

Ans.)       -----------   x  ----------

8                  12

3                 4

=       ----------   x  ---------

8                 12

So,   3 x 12 = 36    and        8 x 4 = 32

Here we can see that, both cross products are not equal, so we can say both the fractions are not equivalent.     (Ans.)

1) Other Way Of Understanding About Equivalent Fraction,