Step-by-step explanation:
[tex]\frac{8}{5}[/tex]÷6[tex]\frac{3}{4}[/tex]
First, simplify the 6[tex]\frac{3}{4}[/tex] to an improper fraction, which is:
[tex]\frac{27}{4}[/tex]
Next rewrite the equation using the improper fraction:
[tex]\frac{8}{5}[/tex]÷[tex]\frac{27}{4}[/tex]
Now, in order to divide the fraction, we will need to flip the second fraction over, and then multiply the two fractions together. A great way to remember this is the phrase Copy Dot Flip - Copy the first fraction, put a dot for multiplication, and flip the second fraction.
[tex]\frac{8}{5}[/tex]·[tex]\frac{4}{27}[/tex]
Finally, multiply together and simplify/reduce if needed:
The final answer is [tex]\frac{32}{135}[/tex] and no simplification or reduction is needed