Question

What is 0.0346 as a fraction?

Answer 1

`346/10000= 173/5000`

Explanation:

`0.0346 = 346/10000 =173/5000`

NB: Any terminating or recurring decimal is rational
(i.e. it can be expressed as a fraction)

Answer 2

`173/5000`

Explanation:

You could always put this `/1000`
`-> 346/10000`

Which is then simplified to:

`346/10000->173/5000`

when dividing the numerator and denominator by `2`

Alternatively (algebraically):

let `x=0.0346`

`therefore` `10x=0.346`

`therefore` `100x=3.46`

`therefore` `1000x=34.6`

`therefore` `10000x=346`

`therefore` `100000x=3460`

`90000x=(100000x-10000x)=(3460-346)=3114`

`x=3114/90000 -> 173/5000`

when dividing by `18`

Although this method is longer, it is better for re-occurring numbers.