**Logic!**

Step 1: -1/1 = 1/-1

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Step 2: Taking the square root of both sides: sqrt(-1/1) = sqrt(1/-1)

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Step 3: Simplifying: sqrt(-1)/sqrt(1) = sqrt(1)/sqrt(-1)

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Step 4: In other words, i/1 = 1/i.

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Step 5: Therefore, i / 2 = 1 / (2i),

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Step 6: i/2 + 3/(2i) = 1/(2i) + 3/(2i),

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Step 7: i (i/2 + 3/(2i) ) = i ( 1/(2i) + 3/(2i) ),

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Step 8: (i^2)/2+(3i)/2i=i(2i) + (3i)/(2i)

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Step 9: (-1)/2 + 3/2 = 1/2 + 3/2,

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Step 10: 1=2.

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Which step is wrong, and why?

*The Last one (Answer to this is now at the bottom of my profile):*

There is a soaked watermelon weighing 10 kilograms and is found to be 99% water by mass. It was left out to dry for a set time and it was found to be 95% water. What is the new weight of the watermelon, in kilograms?

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If 99% of the watermelon is water, the ratio of water to melon is 99:1

If 95% of the watermelon is water, the ratio is 19:1

Since the 1 in the ratio represents the dry part of the watermelon, it does not change. Call it D.

D*100 (99parts wet + 1 part dry)=10kg

D*20 (19 parts wet + 1 part dry) = x

5x = 10kg

x = 2kg