To solve the expression 0.05 divided by (-5/8 divided by 1/2), we need to follow the order of operations, which is parentheses, exponents, multiplication and division (performed from left to right), and addition and subtraction (performed from left to right). First, we need to simplify the expression inside the parentheses by dividing -5/8 by 1/2. Dividing by a fraction is the same as multiplying by its reciprocal, so -5/8 divided by 1/2 is the same as -5/8 times 2/1, which simplifies to -5/4. Therefore, the original expression becomes 0.05 divided by -5/4. Dividing by a fraction is the same as multiplying by its reciprocal, so 0.05 divided by -5/4 is the same as 0.05 times -4/5. Multiplying these fractions gives us -0.04. Therefore, the solution to the expression 0.05 divided by (-5/8 divided by 1/2) is -0.04.
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