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(2a^2) / (3b) times (15b^2) / (4a^3) divided by (15b^2) / (6a^3)
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If you multiply by (6a^3)/(15b^2) instead of dividing, your 15b^2 and a^3 terms can be cancelled in top and bottom, leaving (2a^2*6)/(3b*4) = a^2/b
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