2024 · Q36
If (1)/(a+(1)/(b+(1)/(c+(1)/(d+(1)/(e)))))=(421)/(972), then what is the value of a × b × c × d × e?
Elementary MathematicsNumber System
- A720
- B480
- C360
- D60
Explanation
Expanding 421/972 as a continued fraction gives [2; 3, 4, 5, 6], i.e. a = 2, b = 3, c = 4, d = 5, e = 6. Their product is 2 × 3 × 4 × 5 × 6 = 720. This is option (a).