Respuesta :

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Key skills needed --> Division of fractions, Multiplication of fractions

1) 2/4 over 5/8 is the same thing as division ---> [tex]\frac{2}{4}[/tex] ÷ [tex]\frac{5}{8}[/tex] = [tex]\frac{2}{4}[/tex] × [tex]\frac{8}{5}[/tex] = [tex]\frac{16}{20}[/tex] = [tex]\frac{4}{5}[/tex]

2) Dividing by a fraction is the same thing as multiplying by its reciprocal.

Basically if you are dividing by [tex]\frac{3}{4}[/tex], you are multiplying by [tex]\frac{4}{3}[/tex]. A reciprocal is when the fraction's numerator becomes the denominator, and the fraction's denominator becomes the numerator. [tex]\frac{1}{2}[/tex] --> reciprocal is [tex]\frac{2}{1}[/tex] (or 2)

Hope you understood and have a nice day!! :D