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AMO · 2027 · Grades 8-9 · Self-study SET 24 Question 8

AMO

Question 8

Adding 1 to the numerator and 5 to the denominator of a fraction gives the same result as subtracting 5 from its numerator and 1 from its denominator. Its decimal value is 1.5. Which displayed fraction is it? The stated changes apply to the displayed numerator and denominator before reduction.
  1. $\frac65$
  2. $\frac{12}{8}$
  3. $\frac42$
  4. $\frac{12}{6}$
  5. $\frac{10}{8}$