I really need help with this equation

Answer:
it's answer is 8 / 3
Step-by-step explanation:
given
[tex]6 \ \: \frac{3}{4} \div 1 \frac{2}{3} \\ = \frac{6 \times 4 + 3}{4} \div \frac{1 \times 3 + 2}{3} \\ = \frac{27}{4} \div \frac{5}{2} \\ = \frac{27}{4} \times \frac{2}{5} \\ = \frac{27}{10} [/tex]