Question

which fraction is equivalent to \\(\frac{4}{8}\\)? \\(\frac{3}{4}\\) \\(\frac{1}{3}\\) \\(\frac{2}{4}\\) \\(\frac{2}{8}\\) 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, \(\frac{4\div4}{8\div4}=\frac{1}{2}\)? Wait, no, wait, let's check the options. Alternatively, we can simplify by dividing numerator and denominator by 2: \(\frac{4\div2}{8\div2}=\frac{2}{4}\). Let's verify: \(\frac{4}{8}\) and \(\frac{2}{4}\), cross - multiply: \(4\times4 = 16\) and \(8\times2=16\), so they are equivalent.

Step2: Check other options

• For \(\frac{3}{4}\): Cross - multiply with \(\frac{4}{8}\), \(4\times4 = 16\) and \(8\times3 = 24\), not equal.
• For \(\frac{1}{3}\): Cross - multiply, \(4\times3=12\) and \(8\times1 = 8\), not equal.
• For \(\frac{2}{8}\): Cross - multiply, \(4\times8 = 32\) and \(8\times2=16\), not equal.

Answer:

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