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Here is your answer:

To SIMPLIFY \frac{3\sqrt{27} }{15\sqrt{48} }

→ \frac{3\sqrt{27} }{15\sqrt{48} }

→ \frac{3\sqrt{9\ * \ 3} }{15\sqrt{16 \ * \ 3} }\\

→ \frac{3\ *\ 3\sqrt{3} }{15 \ * \ 4\sqrt{3} }

→ \frac{3\sqrt{3} }{20\sqrt{3} }

→ \frac{3}{20}

Answer: ³/₂₀

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