How do you convert -8.4 (4 being repeated) to a fraction?

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Answer 1 · 2018-07-22T19:32:32

#-8.\bar4=-76/9#

Let

#x=-8.44444......\ \ \ \ (1)#

#10x=-84.44444......\ \ \ \ (2)#

subtracting (2) from (1) as follows

#x-10x=(-8.4444.......)-(-84.4444........)#

#-9x=(84.4444.......)-(8.4444.........)#

#-9x=76#

#x=-76/9#