Question

which fractions are equivalent to \\(\frac{8}{12}\\)? check all that apply.\\(\frac{4}{24}\\)\\(\frac{6}{10}\\)\\(\frac{2}{3}\\)\\(\frac{24}{36}\\)\\(\frac{32}{48}\\)

Explanation:

Step1: Simplify $\frac{8}{12}$

Divide numerator and denominator by 4: $\frac{8\div4}{12\div4}=\frac{2}{3}$.

Step2: Check $\frac{4}{24}$

Simplify: $\frac{4\div4}{24\div4}=\frac{1}{6}
eq\frac{2}{3}$.

Step3: Check $\frac{6}{10}$

Simplify: $\frac{6\div2}{10\div2}=\frac{3}{5}
eq\frac{2}{3}$.

Step4: Check $\frac{2}{3}$

It matches the simplified $\frac{8}{12}$.

Step5: Check $\frac{24}{36}$

Simplify: $\frac{24\div12}{36\div12}=\frac{2}{3}$, matches.

Step6: Check $\frac{32}{48}$

Simplify: $\frac{32\div16}{48\div16}=\frac{2}{3}$, matches.

Answer:

$\frac{2}{3}$, $\frac{24}{36}$, $\frac{32}{48}$ (corresponding to the options with these fractions)