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SASMO 2021 Grade 8 Question 7

SASMO · SASMO 2021 Grade 8

Question 7

Find the next fraction in $\frac32,\frac56,\frac7{18},\frac16,\frac{11}{162},\frac{13}{486},\ldots$.

Interpretation: continue the pattern of consecutive odd numerators and denominators multiplied by 3, allowing a displayed fraction to be simplified.
  1. $\frac{15}{21}$
  2. $\frac1{21}$
  3. $\frac5{486}$
  4. $\frac{17}{1458}$
  5. None of the above