Question

3/4 ÷ 5 1/5 = ? Please explain :)

Answer 1

The arithmetic problem shown is:

`((3)/(4))/(5(1)/(5))`

First of all, we have to convert the mixed number in the denominator to an improper fraction. Let's do it:

`5(1)/(5)=((5*5)+1)/(5)=(26)/(5)`

Now, the arithmetic becomes:

`((3)/(4))/((26)/(5))`

Remember, when we are dividing by a fraction, we are actually multiplying by its reciprocal. Thus, we do:

`\begin{gathered} ((3)/(4))/((26)/(5)) \\ =(3)/(4)*(5)/(26) \end{gathered}`

Now we simply multiply straight and reduce (if possible). Shown below:

`\begin{gathered} (3)/(4)*(5)/(26) \\ =(15)/(104) \end{gathered}`