Which of the following is equivalent to 4/8?

To determine which fraction is equivalent to 4/8, it's useful to simplify the fraction. When simplifying a fraction, we look for a common factor that can be used to reduce both the numerator (the top number) and the denominator (the bottom number).

In the case of the fraction 4/8, both the numerator and denominator can be divided by their greatest common divisor, which is 4.

Dividing both 4 and 8 by 4 gives us:

4 ÷ 4 = 1

8 ÷ 4 = 2

This simplification shows that 4/8 can be expressed as 1/2. Therefore, 4/8 is equivalent to 1/2.

Recognizing this equivalence is crucial in understanding fractions and their relationships to one another. When faced with fractions, simplification is a key technique to determine their most reduced form or to find equivalent fractions. In this case, understanding that simplification of 4/8 leads to 1/2 clarifies why this choice is the correct answer.