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which fraction is equivalent to \\(\\frac{4}{8}\\)? \\(\\frac{2}{4}\\) …

Question

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

Explanation:

Step1: Simplify the given fraction

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

  • For \(\frac{2}{4}\): Divide numerator and denominator by 2, \(\frac{2\div2}{4\div2}=\frac{1}{2}\).
  • For \(\frac{2}{3}\): It cannot be simplified to \(\frac{1}{2}\) (since \(2\times2 = 4

eq3\)).

  • For \(\frac{2}{6}\): Divide numerator and denominator by 2, \(\frac{2\div2}{6\div2}=\frac{1}{3}

eq\frac{1}{2}\).

  • For \(\frac{1}{3}\): It is not equal to \(\frac{1}{2}\).

Step2: Compare with simplified form

We see that \(\frac{2}{4}\) simplifies to \(\frac{1}{2}\), which is the same as the simplified form of \(\frac{4}{8}\).

Answer:

\(\frac{2}{4}\) (the first option)