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Compare 15/42 and 21/49

15/42 is smaller than 21/49

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 49 is 294
  2. For the 1st fraction, since 42 × 7 = 294,
    15/42 = 15 × 7/42 × 7 = 105/294
  3. Likewise, for the 2nd fraction, since 49 × 6 = 294,
    21/49 = 21 × 6/49 × 6 = 126/294
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 105/294 < 126/294 or 15/42 < 21/49

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