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SASMO 2021 Grade 6 Question 8

SASMO · SASMO 2021 Grade 6

Question 8

Jill places the digits 1, 2, 3, 4, 5, 6, 7 and 8 exactly once in the eight boxes to obtain the largest possible fraction. In simplest form its numerator is a and its denominator is b. Find a + b.

Question illustration

The fraction bars define the nesting shown: p/(q + r/(s + t/(u + v/w))). The eight letters here denote the eight boxes, not extra digits.
  1. 1505
  2. 1397
  3. 1441
  4. 1379
  5. None of the above