(-1.25+1 7/8):(-1 1/2-0.5)

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First, let's simplify each fraction separately:

-1.25 = -1 1/4 (since 0.25 is 1/4)
1 7/8 = 15/8 (denominator is 8)

-1.5 = -1 1/2
-0.5 = -1/2

Now let's perform the division:

(-1 1/4)/(1 1/2) = (-5/4) / (-3/2) = (-5/4) * (-2/3) = 10/12 = 5/6

Therefore, (-1.25 + 1 7/8)/(-1 1/2 - 0.5) = 5/6.