How do you convert 1.65 (65 being repeated) to a fraction?

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Answer 1 · 2016-03-16T04:38:33

#164/99#

We first let 1.65 be #x#.

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

#100x = 165.65#

Next, we subtract them.

#100x - x = 165.65 - 1.65#

#99x = 164#

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

#x = 164/99#