What is 0.0346 as a fraction?

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Answer 1 · 2016-09-29T02:52:44

#346/10000= 173/5000#

#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 · 2018-03-30T09:36:23

#173/5000#

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.