How do you convert 5.2108 (108 being repeated) to a fraction?

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Answer 1 · 2016-03-17T04:39:28

#964/185#

We first let 5.2108 (108 being repeated) be #x#.

Since #x# is recurring in 3 decimal places, we multiply it by 1000.

#1000x = 5210.8108#

Next, we subtract them.

#1000x - x = 5210.8108 - 5.2108#

#999x = 5205.6#

Lastly, we divide both sides by 999 to get #x# as a fraction.

#x = 5201.6/999#

#= 52016/9990#

#= 964/185#