Question

How do you write 0.82 as a fraction in its simplest form?

Answer 1

`41/50`

Explanation:

We have `0.82`. This can be written as:

`0.82/1`

because anything divided by 1 is itself.

That decimal is getting in the way! Let's get rid of it by multiplying by a creative form of 1:

`0.82/1=0.82/1(1)=0.82/1(100/100)=82/100`

we can do what we did because anything times 1 is itself and anything divided by the same thing equals 1.

Ok - we have a fraction. Now let's get it into simplest terms. We do that by finding more creative forms of 1:

`82/100=(41xx2)/(50xx2)=41/50(2/2)=41/50(1)=41/50`

41 is prime so it can't be broken down any more. So this is where we stop.