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

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

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

$-9x=76$

$x=-76/9$