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Compare 4/21 and 18/40

4/21 is smaller than 18/40

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 40 is 840
  2. For the 1st fraction, since 21 × 40 = 840,
    4/21 = 4 × 40/21 × 40 = 160/840
  3. Likewise, for the 2nd fraction, since 40 × 21 = 840,
    18/40 = 18 × 21/40 × 21 = 378/840
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 160/840 < 378/840 or 4/21 < 18/40

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