Owen is an alien who only wears fractions of socks at a time. if only 4/5 of owens sock are clean, and he wears 2/5 socks a day, how many days has it been since he washed all his socks? simplify your answer and write it as a proper fraction or as a whole or mixed number

Respuesta :

Answer:

[tex]\dfrac{1}{2}[/tex] day

Step-by-step explanation:

Given that:

Owen who is an alien has only 4/5 of his socks clean.

and he wears 2/5 socks a day.

Out of his total 4/5 clean socks.

It will take him (4/5 ÷ 2/5) days to wash all his socks

i.e

the numbers of days since he washed all his socked is:

= [tex]\dfrac{4}{5} \div \dfrac{2}{5}[/tex]

= [tex]\dfrac{4}{5} \times \dfrac{5}{2}[/tex]

= [tex]\dfrac{1}{2}[/tex]