11. Which pairs of fractions are equivalent to $$ \frac{2}{3} $$ and $$ \frac{5}{6} $$ ? \begin{tabular}{l|c|c|}\hline$$ \frac{12}{18} $$ and $$ \frac{15}{18} $$ & $$ \frac{8}{12} $$ and $$ \frac{11}{12} $$ & $$ \frac{16}{24} $$ and $$ \frac{20}{24} $$\end{tabular}

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UpStudy AI · Accepted Answer

Las siguientes parejas de fracciones son equivalentes a $$ \frac{2}{3} $$ y $$ \frac{5}{6} $$:

- $$ \frac{12}{18} $$ y $$ \frac{15}{18} $$
- $$ \frac{16}{24} $$ y $$ \frac{20}{24} $$

**Explicación:**

1. **$$ \frac{12}{18} $$ y $$ \frac{15}{18} $$:**
   - $$ \frac{12}{18} $$ simplifica a $$ \frac{2}{3} $$ (dividiendo numerador y denominador por 6).
   - $$ \frac{15}{18} $$ simplifica a $$ \frac{5}{6} $$ (dividiendo numerador y denominador por 3).

2. **$$ \frac{8}{12} $$ y $$ \frac{11}{12} $$:**
   - $$ \frac{8}{12} $$ simplifica a $$ \frac{2}{3} $$.
   - $$ \frac{11}{12} $$ no es equivalente a $$ \frac{5}{6} $$.

3. **$$ \frac{16}{24} $$ y $$ \frac{20}{24} $$:**
   - $$ \frac{16}{24} $$ simplifica a $$ \frac{2}{3} $$ (dividiendo numerador y denominador por 8).
   - $$ \frac{20}{24} $$ simplifica a $$ \frac{5}{6} $$ (dividiendo numerador y denominador por 4).

Por lo tanto, las parejas correctas son la primera y la tercera.
Las parejas de fracciones equivalentes son: - $$ \frac{12}{18} $$ y $$ \frac{15}{18} $$ - $$ \frac{16}{24} $$ y $$ \frac{20}{24} $$

Which pairs of fractions are
equivalent to and ?

and and and

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