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Find two fractions in terms of pi that, when added or subtracted, produces 19pi/12.
For example, decompose 3pi/8 into two fractions.
Let me put pi aside for now.
3/8 = (1/8) + (1/8) + (1/8).
(1/8) + (1/8) + (1/8) = (2/8) + (1/8).
I collected two of the 1/8 to become 2/8.
So, (2/8) + (1/8) = 3/8.
I will now bring pi back into the problem.
So, 3pi/8 = (2pi/8) + pi/8.
How is this done for 19pi/12?
For example, decompose 3pi/8 into two fractions.
Let me put pi aside for now.
3/8 = (1/8) + (1/8) + (1/8).
(1/8) + (1/8) + (1/8) = (2/8) + (1/8).
I collected two of the 1/8 to become 2/8.
So, (2/8) + (1/8) = 3/8.
I will now bring pi back into the problem.
So, 3pi/8 = (2pi/8) + pi/8.
How is this done for 19pi/12?
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