Answer:
[tex]3\frac{1}{3}[/tex]
Step-by-step explanation:
In order to find the answer to this question you must change the mixed number into a improper fraction, use KCF, (Keep, Change, Flip) and solve.
[tex]2\frac{2}{3} \div\frac{4}{5}[/tex]
Convert into improper fraction:
[tex]2\frac{2}{3} =3\times2=6+2=8=\frac{8}{3}[/tex]
[tex]\frac{8}{3} \div\frac{4}{5}[/tex]
Use KCF:
[tex]\frac{8}{3} \times\frac{5}{4}[/tex]
Solve:
[tex]8\times5=40[/tex]
[tex]3\times4=12[/tex]
[tex]=\frac{40}{12}[/tex]
Reduce:
[tex]40\div4=10[/tex]
[tex]12\div4=3[/tex]
[tex]=\frac{10}{3}[/tex]
Convert into mixed number:
[tex]\frac{10}{3} =3\frac{1}{3}[/tex]
[tex]=3\frac{1}{3}[/tex]
Hope this helps.
