Answer:
The answer is 5/6.
Step-by-step explanation:
First you have to convert the DIVIDE SYMBOL into MULTIPLY SYMBOL by putting an upside-down fraction :
[tex] \frac{2}{3} \div \frac{4}{5} [/tex]
[tex] = \frac{2}{3} \times \frac{5}{4} [/tex]
Next you can cut out the common factor :
[tex] \frac{2}{3} \times \frac{5}{4} [/tex]
[tex] = \frac{1}{3} \times \frac{5}{2} [/tex]
Lastly, you can multiply together :
[tex] \frac{1}{3} \times \frac{5}{2} [/tex]
[tex] = \frac{5}{6} [/tex]