Question

identify and generate equivalent fractions quiz
which of the following fractions are equivalent to \\(\frac{4}{16}\\)? select all that apply.
(1 point)
\\(\frac{4}{15}\\) \\(\frac{2}{4}\\) \\(\frac{2}{8}\\)

Explanation:

Step1: Simplify the given fraction

First, simplify $\frac{4}{16}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 4. So, $\frac{4\div4}{16\div4}=\frac{1}{4}$.

Step2: Simplify each option

• For $\frac{4}{12}$: The greatest common divisor of 4 and 12 is 4. So, $\frac{4\div4}{12\div4}=\frac{1}{3}$, which is not equal to $\frac{1}{4}$.
• For $\frac{2}{4}$: The greatest common divisor of 2 and 4 is 2. So, $\frac{2\div2}{4\div2}=\frac{1}{2}$, which is not equal to $\frac{1}{4}$.
• For $\frac{2}{8}$: The greatest common divisor of 2 and 8 is 2. So, $\frac{2\div2}{8\div2}=\frac{1}{4}$, which is equal to the simplified form of $\frac{4}{16}$.

Answer:

$\frac{2}{8}$