book Maths Puzzle Numerical Ability

When solving a rational equation, why is it OK to remove the denominator by multiplying both sides by the LCD and why can you not do the same operation when simplifying a rational

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book Other Question

Car A leaves point A traveling at 60 mph. Car B leaves point B traveling at 30 mph. They meet 10 minutes later. How far apart were they when they started? I have a trig. problem that I hope someone can help me with.
Sec2Csc2 - Sec2 - Csc2 + 1