How do you convert 0.02 to a fraction?

Question

37409 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-18T16:23:47

#1/50#

The fraction is literally read as "two hundredths". The way it's read essentially gives away the answer. We can write this as

#2/100#

Since #2# is a factor of the top and bottom, we can divide on the top and bottom to simplify to get

#1/50#

Hope this helps!

Answer 2 · 2018-06-18T16:24:23

#0.02=1/50#

A number in decimal form written as #abc.defg# represents

#100a+10b+c+d/10+e/100+f/1000+g/10000#

which simplifies to #(abcdefg)/10000#

Hence #0.02# is

#0+0/10+2/100# or just #2/100=(cancel2^1)/(cancel100^50)=1/50#