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Answer:
To find the portion of the board to be painted red, we first add the portions to be painted blue and black to find the combined portion already accounted for:
Portion painted blue + Portion painted black = 0.3 + 0.45 = 0.75.
Since the sum of these portions is 0.75, the remaining portion to be painted red is:
Portion painted red = 1 - Portion painted blue - Portion painted black
Portion painted red = 1 - 0.75
Portion painted red = 0.25.
Thus, 0.25, or 25% of the board, is to be painted red.