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3 12 4 16
Example 3. Check whether and are Example 4. Check whether and are
7 28 6 30

equivalent or not. equivalent or not.
3 12 Solution. On finding the cross products,
Solution. We have:
7 28 we get:

Here, 3 × 28 = 84 and 7 × 12 = 84. 4 16 6 × 16 = 96
6 30 4 × 30 = 120
Since both the products are equal, As the cross products are not equal, the
3 and 12 are equivalent fractions. 4 16

7 28 fractions and are not equivalent.
6 30

Equivalent Fractions using a Fraction Kit

We have just seen the fraction disc.

Now, let us learn how to make One whole
equivalent fractions using a fraction
wall. 1 1

Here, one whole is equal to 2 halves, 2 2
3 one-thirds or 4 one-fourths. Can
this be used to understand the 1 1 1
concept of equivalent fractions? 3 3 3

Obviously, the answer is YES. 1 1 1 1

4 4 4 4

1 1
What do you observe about and on the fraction wall shown above?
2 4

1 1 2
Clearly, we can see that = 2 × = .
2 4 4
Example 5. Look at the figure below. Find the equivalent fractions.

One whole

1

3

1
12

90 Mathematics 5