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Mathematics, 24.10.2021 14:00 naomirice24

Compute $\frac{3}{4}\cdot \frac{8}{9}\cdot \frac{15}{16}\cdot \frac{24}{25}\cdot \frac{35}{36}\cdot \frac{48}{49}\cdot \frac{63}{64}\cdot \frac{80}{81}\cdot \frac{99}{100}$. Express your answer in the simplest way possible. (Suggestion: First, try computing $\frac{3}{4}\cdot \frac{8}{9},$ then $\frac{3}{4}\cdot \frac{8}{9}\cdot \frac{15}{16},$ and so on. Look for patterns.)

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Compute $\frac{3}{4}\cdot \frac{8}{9}\cdot \frac{15}{16}\cdot \frac{24}{25}\cdot \frac{35}{36}\cdot...
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