Answers

Compare 6/84 and 12/40

6/84 is smaller than 12/40

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 40 is 840
2. For the 1st fraction, since 84 × 10 = 840,
   6/84 = 6 × 10/84 × 10 = 60/840
3. Likewise, for the 2nd fraction, since 40 × 21 = 840,
   12/40 = 12 × 21/40 × 21 = 252/840
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 60/840 < 252/840 or 6/84 < 12/40

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