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what is negative 0.083 (repeating) as a fraction

Sagot :

taskmasters
X= -0.083….. as fraction.
=> x = -0.083…
=> Let 10x = -0.83
Therefore, 10x and x = -8.3… and  -0.083….
Now let’s subtract both number
=> 9x = -7.47 (let’s round off -7.47 to 7.5)
=> 9x = - 7.5 ( fraction of -7.5 = -15/2)
=> 9x = 15/2
=> x = 16/18
=> therefore x= 16/18 or 5/6

Answer;

= -5/60

Solution and explanation;

let x = -0.08333

10 x = -0.8333

100 x = -8.3333

1000 x = -83.3333

Taking 1000 x - 100 x = 900 x and

-83.333- -8.333 = -75

Thus; 900 x = -75

x = -75/900

= - 5/60

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