How do you convert -8.016 (16 being repeated) to a fraction?

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Answer 1 · 2016-03-19T04:21:49

#= -3968/495#

We first let -8.016 (16 being repeated) be #x#.

Since #x# is recurring in 2 decimal places, we multiply it by #10^2#.

#100x = -801.616#

Next, we subtract them.

#100x - x = -801.616 - (-8.016)#

#99x = -793.6#

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

#x = -793.6/99#

#= -7936/990#

#= -3968/495#