Question

which fractions are equivalent to \\(\frac{2}{3}\\)? choose all the correct answers. \\(\frac{4}{5}\\) \\(\frac{5}{6}\\) \\(\frac{4}{6}\\) \\(\frac{6}{7}\\) \\(\frac{8}{12}\\)

Explanation:

Step1: Simplify $\frac{4}{6}$

Divide numerator and denominator by 2: $\frac{4\div2}{6\div2}=\frac{2}{3}$

Step2: Simplify $\frac{8}{12}$

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

Step3: Check other fractions

• $\frac{4}{5}$: Cannot be simplified to $\frac{2}{3}$.
• $\frac{5}{6}$: Cannot be simplified to $\frac{2}{3}$.
• $\frac{6}{7}$: Cannot be simplified to $\frac{2}{3}$.

Answer:

$\frac{4}{6}$, $\frac{8}{12}$