Find: 11/3÷2/3

(1 point)
Responses

13/6
13 sixths

22/9
22 ninths

11/2
11 halves

33/5

1 answer

To find \( \frac{11}{3} \div \frac{2}{3} \), you can multiply by the reciprocal of the second fraction:

\[ \frac{11}{3} \div \frac{2}{3} = \frac{11}{3} \times \frac{3}{2} \]

Next, multiply the fractions:

\[ \frac{11 \times 3}{3 \times 2} = \frac{33}{6} \]

Now, simplify \( \frac{33}{6} \):

\[ \frac{33 \div 3}{6 \div 3} = \frac{11}{2} \]

So the answer is \( \frac{11}{2} \) or \( 11 \) halves.

Thus, the correct response is:

11/2 (11 halves).