Equivalent Fractions

Equivalent fractions are fractions that represent the same value or amount. They may have different numerators and denominators, but they are equal to each other. For example, 1/2 and 2/4 are equivalent fractions because they both represent half or 50% of a whole.

Option B

The two fractions that are equivalent in the given options are 1/2 and 2/4. To check whether they are equivalent or not, we need to simplify them to their lowest terms.

1/2 cannot be simplified any further, but 2/4 can be simplified by dividing both the numerator and denominator by 2, which gives us 1/2. Hence, both the fractions are equal to each other and are equivalent.

Other Options

a) 1/2 and 1/3 - These fractions cannot be equivalent because they represent different values. 1/2 represents half or 50% of a whole, whereas 1/3 represents one-third or 33.33% of a whole.

c) 1/4 and 1/6 - These fractions cannot be equivalent because they represent different values. 1/4 represents one-fourth or 25% of a whole, whereas 1/6 represents one-sixth or 16.67% of a whole.

d) 2/3 and 1/3 - These fractions are not equivalent because they have different numerators. 2/3 represents two-thirds or 66.67% of a whole, whereas 1/3 represents one-third or 33.33% of a whole.

Therefore, the correct answer is option B, which states that 1/2 and 2/4 are equivalent fractions.