Question

How do you convert 0.2 to a fraction?

Answer 1

`0.2=2/10=1/5`

Explanation:

When we write decimals, what they represent is each digit raised to a corresponding power of `10` and added together. For example, `12345.6789` is actually representing
`1xx10^4+2xx10^3+3xx10^2+4xx10^1+5xx10^0+6xx10^-1+7xx10^-2+8xx10^-3+9xx10^-4`
So, to look at `0.2`, we recognize that
`0.2=0xx10^0+2xx10^-1=0+2xx1/10=2/10=1/5`