How do you convert 0.03 (3 being repeated) to a fraction?

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Answer 1 · 2016-03-17T04:58:22

#1/30#

We first let 0.03 (3 being repeated) be #x#.

Since #x# is recurring in 1 decimal places, we multiply it by 10.

#10x = 0.33#

Next, we subtract them.

#10x - x = 0.33 - 0.03#

#9x = 0.3#

Lastly, we divide both sides by 9 to get #x# as a fraction.

#x = 0.3/9#

#= 3/90#

#= 1/30#