What is 0.0346 as a fraction?

2 Answers
Sep 29, 2016

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)

Mar 30, 2018

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.