How do you convert 4.36 (36 being repeated) to a fraction?

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Answer 1 · 2016-03-16T04:19:31

#48/11#

We first let 4.36 be #x#.

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

#100x = 436.36#

Next, we subtract them.

#100x - x = 436.36 - 4.36#

#99x = 432#

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

#x = 432/99#

#= 48/11#