Which of the following is equivalent to $$ 3 \frac{2}{3} ? $$ A. $$ \frac{8}{3} $$ B. $$ \frac{18}{3} $$ C. $$ \frac{11}{3} $$ D. $$ \frac{9}{2} $$

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UpStudy AI · Accepted Answer

To determine which fraction is equivalent to $$ 3 \frac{2}{3} $$, let's convert the mixed number to an improper fraction.

**Step 1: Convert the Mixed Number to an Improper Fraction**

$$
3 \frac{2}{3} = \left(3 \times 3\right) + 2 = 9 + 2 = 11
$$

So, the improper fraction is:

$$
\frac{11}{3}
$$

**Step 2: Compare with the Given Options**

- **A. $$ \frac{8}{3} $$** – Not equal to $$ \frac{11}{3} $$
- **B. $$ \frac{18}{3} = 6 $$** – Not equal to $$ \frac{11}{3} $$
- **C. $$ \frac{11}{3} $$** – **This is equal to $$ 3 \frac{2}{3} $$**
- **D. $$ \frac{9}{2} $$** – Not equal to $$ \frac{11}{3} $$

**Answer:** C. $$ \frac{11}{3} $$
The equivalent fraction is $$ \frac{11}{3} $$.

Which of the following is equivalent to \( 3 \frac{2}{3} ? \) A. \( \frac{8}{3} \) B. \( \frac{18}{3} \) C. \( \frac{11}{3} \) D. \( \frac{9}{2} \)

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