find: 11/3 divided by 2/3

a. 33/5
b. 11/2
c. 13/6
d. 22/9

1 answer

To divide fractions, you multiply by the reciprocal of the divisor. This means you can rewrite the problem as follows:

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

Now, multiply the fractions:

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

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

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

So, the answer is:

\(\mathbf{b. , 11/2}\)