Which of the following represents the equivalent fraction for 2:5?

• A. 2/3
• B. 2/5
• C. 5/2
• D. 3/2

Answer: (B)

The fraction 2:5 is written as 2/5, which represents a part-to-whole relationship where 2 is the part and 5 is the whole. The standard way to express a ratio in fraction form is to place the first number (the part) over the second number (the whole), thus giving us 2/5.

When looking for equivalent fractions, we can multiply the numerator and the denominator of the fraction 2/5 by the same non-zero number. For example, if we multiply both by 2, we get 4/10, which is equivalent to 2/5. The key concept here is that the value of the fraction remains unchanged, and that characteristic of equivalence is best represented in this case by the fraction 2/5 itself.

Choosing any other fraction from the options presented does not maintain that original ratio relationship of 2:5, i.e., they do not represent the same part-to-whole comparison as 2/5 does.