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AMO 2027 Grades 6-7 SET 9 - Self-study Question 10

AMO · AMO 2027 Grades 6-7 SET 9 - Self-study

Question 10

Suppose

$$\frac mn=\frac{2}{1\times3}+\frac{2}{3\times5}+\frac{2}{5\times7}+\frac{2}{7\times9}+\cdots+\frac{2}{49\times51},$$

where m/n is a fraction in simplest form. What is the value of m × n?