How do you convert -0.3 (3 being repeated) to a fraction?

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Answer 1 · 2016-03-06T15:30:39

#-1/3#

we let #a/b=0.3333333333...#first equation
multiply both sides of the equation by 10

we have
#10a/b=3.33333333....#second equation

subtract now the first from the second equation

#10a/b-a/b=3.333333333....-0.33333333....#

#9a/b=3#

divide both sides by 9

#a/b=3/9=1/3#

therefore #-0.33333333=-1/3#

God bless...I hope the explanation is useful..