Question

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

Explanation:

Step1: Simplify the given fraction

To find an equivalent fraction to \(\frac{3}{6}\), we simplify it by dividing both the numerator and the denominator by their greatest common divisor, which is 3. So, \(\frac{3\div3}{6\div3}=\frac{1}{2}\).

Step2: Check the options

• For \(\frac{1}{3}\), it is not equivalent to \(\frac{3}{6}\) as \(\frac{3}{6}\) simplifies to \(\frac{1}{2}\) not \(\frac{1}{3}\).
• For \(\frac{4}{6}\), it is not equivalent to \(\frac{3}{6}\) as 4 and 3 are different numerators.
• For \(\frac{2}{3}\), it is not equivalent to \(\frac{3}{6}\) as \(\frac{3}{6}\) simplifies to \(\frac{1}{2}\) not \(\frac{2}{3}\).
• For \(\frac{1}{2}\), we saw in Step 1 that \(\frac{3}{6}\) simplifies to \(\frac{1}{2}\), so they are equivalent.

Answer:

\(\frac{1}{2}\) (the last option, i.e., the fourth option with the fraction \(\frac{1}{2}\))