Respuesta :

Question: 4 divided by 4 fifths can be represented below as

[tex]\begin{gathered} =4\div\frac{4}{5} \\ \frac{4}{5}=\frac{\text{initial numerator}}{initial\text{ denominator}} \end{gathered}[/tex]

Note: 4 fifths means 4 parts out of 5 that is why we have 4 fifths to be = 4/5

Concept:

For the division sign to be changed into a multiplication sign, we will have to interchange the initial numerator to become the new denominator and the initial denominator will become the new numerator

Therefore,

The question above becomes

[tex]\begin{gathered} =4\div\frac{4}{5} \\ =\frac{4}{1}\times\frac{5}{4} \\ =\frac{20}{4} \\ =5 \end{gathered}[/tex]

Hence,

The final answer = 5

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