The arithmetic problem shown is:
[tex]\frac{\frac{3}{4}}{5\frac{1}{5}}[/tex]First of all, we have to convert the mixed number in the denominator to an improper fraction. Let's do it:
[tex]5\frac{1}{5}=\frac{(5\times5)+1}{5}=\frac{26}{5}[/tex]Now, the arithmetic becomes:
[tex]\frac{\frac{3}{4}}{\frac{26}{5}}[/tex]Remember, when we are dividing by a fraction, we are actually multiplying by its reciprocal. Thus, we do:
[tex]\begin{gathered} \frac{\frac{3}{4}}{\frac{26}{5}} \\ =\frac{3}{4}\times\frac{5}{26} \end{gathered}[/tex]Now we simply multiply straight and reduce (if possible). Shown below:
[tex]\begin{gathered} \frac{3}{4}\times\frac{5}{26} \\ =\frac{15}{104} \end{gathered}[/tex]
