3. Which of the fractions is equivalent. to $$ \frac{2}{3} $$ ? (A) $$ \frac{8}{12} $$ (B) $$ \frac{6}{10} $$ (C) $$ \frac{4}{8} $$ (D) $$ \frac{2}{5} $$

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To determine which of the given fractions is equivalent to $$ \frac{2}{3} $$, we can cross-multiply each option and compare the results.

The fraction $$ \frac{a}{b} $$ is equivalent to $$ \frac{c}{d} $$ if $$ a \cdot d = b \cdot c $$.

Let's check each option:

1. **Option (A)**: $$ \frac{8}{12} $$
   - Cross-multiply: $$ 2 \cdot 12 $$ and $$ 3 \cdot 8 $$
   - Calculation: 
     $$
     2 \cdot 12 = 24
     $$
     $$
     3 \cdot 8 = 24
     $$
   - Since $$ 24 = 24 $$, $$ \frac{8}{12} $$ is equivalent to $$ \frac{2}{3} $$.

2. **Option (B)**: $$ \frac{6}{10} $$
   - Cross-multiply: $$ 2 \cdot 10 $$ and $$ 3 \cdot 6 $$
   - Calculation:
     $$
     2 \cdot 10 = 20
     $$
     $$
     3 \cdot 6 = 18
     $$
   - Since $$ 20 \neq 18 $$, $$ \frac{6}{10} $$ is not equivalent to $$ \frac{2}{3} $$.

3. **Option (C)**: $$ \frac{4}{8} $$
   - Cross-multiply: $$ 2 \cdot 8 $$ and $$ 3 \cdot 4 $$
   - Calculation:
     $$
     2 \cdot 8 = 16
     $$
     $$
     3 \cdot 4 = 12
     $$
   - Since $$ 16 \neq 12 $$, $$ \frac{4}{8} $$ is not equivalent to $$ \frac{2}{3} $$.

4. **Option (D)**: $$ \frac{2}{5} $$
   - Cross-multiply: $$ 2 \cdot 5 $$ and $$ 3 \cdot 2 $$
   - Calculation:
     $$
     2 \cdot 5 = 10
     $$
     $$
     3 \cdot 2 = 6
     $$
   - Since $$ 10 \neq 6 $$, $$ \frac{2}{5} $$ is not equivalent to $$ \frac{2}{3} $$.

After checking all options, the only fraction that is equivalent to $$ \frac{2}{3} $$ is:

**(A) $$ \frac{8}{12} $$**.
Option (A) $$ \frac{8}{12} $$ is equivalent to $$ \frac{2}{3} $$.

3. Which of the fractions is equivalent. to \( \frac{2}{3} \) ? (A) \( \frac{8}{12} \) (B) \( \frac{6}{10} \) (C) \( \frac{4}{8} \) (D) \( \frac{2}{5} \)

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