How do you convert 0.02 to a fraction?

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Answer 1 · 2018-06-18T16:23:47

$\frac{1}{50}$ $1/50$

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

$\frac{2}{100}$ $2/100$

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

$\frac{1}{50}$ $1/50$

Hope this helps!

Answer 2 · 2018-06-18T16:24:23

$0.02 = \frac{1}{50}$ $0.02=1/50$

A number in decimal form written as $a b c . d e f g$ $abc.defg$ represents

$100 a + 10 b + c + \frac{d}{10} + \frac{e}{100} + \frac{f}{1000} + \frac{g}{10000}$ $100a+10b+c+d/10+e/100+f/1000+g/10000$

which simplifies to $\frac{a b c d e f g}{10000}$ $(abcdefg)/10000$

Hence $0.02$ $0.02$ is

$0 + \frac{0}{10} + \frac{2}{100}$ $0+0/10+2/100$ or just $2/100=(cancel2^1)/(cancel100^50)=1/50$