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AMO 2027 Grades 9-11 SET 3 - Self-study Question 11

AMO · AMO 2027 Grades 9-11 SET 3 - Self-study

Question 11

Adding 1 to the numerator and 5 to the denominator of a fraction gives the same value as subtracting 5 from its numerator and 1 from its denominator. Find the fraction if its decimal value is 1.5. Choose the displayed numerator–denominator pair satisfying these operations; the original fraction need not be reduced.

Choose one option.
  1. $\frac65$
  2. $\frac{12}8$
  3. $\frac42$
  4. $\frac{12}6$
  5. $\frac{10}8$