Question

which fraction is equivalent to \\(\frac{4}{8}\\)? \\(\frac{3}{4}\\) \\(\frac{2}{3}\\) \\(\frac{5}{6}\\) \\(\frac{1}{2}\\)

Explanation:

Step1: Simplify the given fraction

To find an equivalent fraction, we simplify \(\frac{4}{8}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 4. So, \(\frac{4\div4}{8\div4}=\frac{1}{2}\).

Step2: Check the options

We check each option:

• For \(\frac{3}{4}\), it cannot be simplified to \(\frac{1}{2}\).
• For \(\frac{2}{3}\), it cannot be simplified to \(\frac{1}{2}\).
• For \(\frac{5}{6}\), it cannot be simplified to \(\frac{1}{2}\).
• For \(\frac{1}{2}\), it is the simplified form of \(\frac{4}{8}\), so they are equivalent.

Answer:

\(\frac{1}{2}\) (the fourth option: \(\frac{1}{2}\))