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SASMO 2021 Grade 6 Question 13

SASMO · SASMO 2021 Grade 6

Question 13

The average of $\frac56,\frac78,\frac7{13},\frac{11}{17}$ is A. In exactly one fraction, interchange the numerator and denominator, giving a new average B. What is the greatest possible value of B − A?
  1. $\frac{42}{187}$
  2. $\frac{30}{91}$
  3. $\frac{15}{224}$
  4. $\frac{11}{120}$
  5. None of the above