How do you convert 0.24 (4 being repeated) to a fraction?

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Answer 1 · 2016-03-17T04:36:03

#11/45#

We first let 0.24 be #x#.

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

#10x = 2.44#

Next, we subtract them.

#10x - x = 2.44 - 0.24#

#9x = 2.2#

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

#x = 2.2/9#

#= 22/90#

#= 11/45#