Question

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

Explanation:

Step1: Simplify the given fraction

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: Simplify each option

• For \(\frac{6}{8}\): Divide numerator and denominator by 2, we get \(\frac{6\div2}{8\div2}=\frac{3}{4}\), not equal to \(\frac{1}{2}\).
• For \(\frac{2}{8}\): Divide numerator and denominator by 2, we get \(\frac{2\div2}{8\div2}=\frac{1}{4}\), not equal to \(\frac{1}{2}\).
• For \(\frac{1}{4}\): It is already in simplest form and not equal to \(\frac{1}{2}\).
• For \(\frac{3}{6}\): Divide numerator and denominator by 3, we get \(\frac{3\div3}{6\div3}=\frac{1}{2}\), which is equal to the simplified form of \(\frac{4}{8}\).

Answer:

\(\frac{3}{6}\) (the fourth option)