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AMO 2016 Secondary 1 (Grade 7) Question 20

AMO · AMO 2016 Secondary 1 (Grade 7)

Question 20

Find the least whole number value of $B+C+D$ such that $\frac{17}{18}=\frac B3+\frac C9+\frac D{18}$, where $B,C,D$ are positive whole numbers and each of the three fractions $\frac B3$, $\frac C9$, and $\frac D{18}$ is in lowest terms.

The bars illustrate the denominators using equal divisions; they do not show the amounts of the fractions.

Question illustration