So,
All we have to do is multiply. But first, we need to convert all mixed numbers into improper fractions.
[tex]1 \frac{3}{4} --\ \textgreater \ \frac{7}{4} [/tex]
Now we multiply.
[tex] \frac{2}{3} * \frac{7}{4} = \frac{14}{12} [/tex]
[tex] \frac{2*7}{2*2*3} --\ \textgreater \ \frac{7}{2*3} [/tex]
[tex] \frac{7}{6}\ or\ 1 \frac{1}{6} [/tex]
The correct answer is A.