Two fractions are equivalent if they have the same value. The numbers may be different, but the overall value is the same. For example, 1/2 and 2/4 are equivalent fractions because they both represent one-half of something. To determine if two fractions are equivalent, cross multiply. To cross multiply, you multiple the numerator of the first fraction by the denominator of the second. Then you multiply the denominator of the first fraction by the numerator of the second. If the two numbers are equal, the fractions are equivalent. In this example 1 X 4 = 4 and 2 X 2 = 4. The fractions are therefore equivalent.

Explanation:
Equivalent fractions are fractions that represent the same value or amount. For example, 1/2 and 2/4 are equivalent fractions because they both represent the same amount of a whole.

To determine if two fractions are equivalent, we can use cross multiplication. Cross multiplication is the process of multiplying the numerator of one fraction by the denominator of the other fraction and vice versa.

For example, to determine if 1/2 and 2/4 are equivalent:

1/2 = x/4
1 x 4 = 2 x x
4 = 2x
x = 2

So, 1/2 and 2/4 are equivalent fractions because they have the same value of x.

Now, let's consider the options given in the question:

a) 0: If the cross multiplication of two fractions is 0, then it means that one of the numerators is 0. This does not necessarily mean that the fractions are not equivalent. For example, 0/3 and 0/5 are equivalent fractions.

b) 1: If the cross multiplication of two fractions is 1, then it means that the fractions are reciprocals of each other. For example, 1/2 and 2/1 are reciprocals of each other, but they are not equivalent fractions.

c) Equal: If the cross multiplications of two fractions are equal, then it means that the fractions are equivalent. For example, if we cross multiply 1/2 and 3/6:

1/2 = x/6
1 x 6 = 2 x x
6 = 2x
x = 3

So, 1/2 and 3/6 are equivalent fractions because they have the same value of x.

d) Not equal: If the cross multiplication of two fractions is not equal, then it means that the fractions are not equivalent. For example, if we cross multiply 1/2 and 3/4:

1/2 = x/4
1 x 4 ≠ 2 x x
4 ≠ 2x
x ≠ 2

So, 1/2 and 3/4 are not equivalent fractions because they do not have the same value of x.