What is 2and 2/3 divided by 4/5

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.

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