How do you convert 0.51 (51 being repeated) to a fraction?

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Answer 1 · 2016-03-16T04:34:04

#17/33#

We first let 0.51 be #x#.

Since #x# is recurring in 2 decimal places, we multiply it by 100.

#100x = 51.51#

Next, we subtract them.

#100x - x = 51.51 - 0.51#

#99x = 51#

Lastly, we divide both sides by 99 to get #x# as a fraction.

#x = 51/99#

#= 17/33#