How do I write 0.8% as a fraction in lowest terms?

I thought I put .8 over 10 and then multiplied by 10/10 to get rid of the decimal. So then I would have 80/100 and then reduce from there which would be 4/5, but my teacher says the answer is 1/125.

Thank you.

2 answers

Think about the method and the pattern

if you had 80% ----> 80/100 = 4/5
if you had 8% -----> 8/100 = 2/25
if you had .8% ----> .8/100
= 8/1000 = 1/125

your .8/100 * 10/10 = 8/1000 , not 8/100
Thank you.