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MathNet 2006 — Part 03 Question 23

Math Olympiad Vault · MathNet 2006 — Part 03

Question 23

In the list of fractions, in the table to the side, we have:
- 2 fractions whose sum is $\frac{5}{2}$
- 2 fractions whose difference is $\frac{5}{2}$
- 2 fractions whose product is $\frac{5}{2}$
- 2 fractions whose quotient is $\frac{5}{2}$
Find the remaining fraction.

| $\frac{5}{4}$ | $\frac{17}{6}$ | $\frac{-5}{4}$ | $\frac{10}{7}$ | $\frac{2}{3}$ |
| :--- | :--- | :--- | :--- | :--- |
$\begin{array}{llll}\frac{14}{8} & \frac{-1}{3} & \frac{5}{3} & \frac{-3}{2}\end{array}$