Question

which fractions are equivalent to \frac{4}{8}? choose all the correct answers

Explanation:

Step1: Simplify the given fraction

The given fraction is $\frac{4}{8}$. Simplify it by dividing numerator and denominator by their greatest common divisor, which is 4. So, $\frac{4\div4}{8\div4}=\frac{1}{2}$. Also, we can check equivalent fractions by multiplying or dividing numerator and denominator by the same non - zero number.

Step2: Check each option

• For $\frac{1}{8}$: The numerator 4 to 1 is divided by 4, but denominator 8 to 8 is not. So, $\frac{1}{8}

eq\frac{4}{8}$.

• For $\frac{1}{4}$: $\frac{1}{4}=\frac{2}{8}

eq\frac{4}{8}$.

• For $\frac{2}{4}$: Simplify $\frac{2}{4}$ by dividing numerator and denominator by 2, we get $\frac{1}{2}$, and $\frac{4}{8}=\frac{1}{2}$, so $\frac{2}{4}$ is equivalent. Also, $\frac{4}{8}=\frac{4\div2}{8\div2}=\frac{2}{4}$.
• For $\frac{2}{6}$: Simplify $\frac{2}{6}=\frac{1}{3}

eq\frac{1}{2}$, so $\frac{2}{6}
eq\frac{4}{8}$.

• For $\frac{1}{2}$: We already found that $\frac{4}{8}=\frac{1}{2}$, so $\frac{1}{2}$ is equivalent.

Answer:

The fractions equivalent to $\frac{4}{8}$ are $\frac{2}{4}$ and $\frac{1}{2}$ (the third and fifth options).