Respuesta :

We are given the following complex fraction

[tex]\frac{\frac{8}{1}}{\frac{3}{5}}[/tex]

8/1 is divided by 3/5

[tex]\frac{8}{1}\div\frac{3}{5}[/tex]

Recall that dividing is the same as multiplying by the reciprocal.

The reciprocal of 3/5 is 5/3 (simply invert the fraction)

[tex]\frac{8}{1}\div\frac{3}{5}=\frac{8}{1}\times\frac{5}{3}[/tex]

Now simply multiply the fractions

[tex]\frac{8}{1}\times\frac{5}{3}=\frac{40}{3}[/tex]

Therefore, the simplified fraction is 40/3