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Compare 30/84 and 42/40

1st number: 30/84, 2nd number: 1 2/40

30/84 is smaller than 42/40

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,
    30/84 = 30 × 10/84 × 10 = 300/840
  3. Likewise, for the 2nd fraction, since 40 × 21 = 840,
    42/40 = 42 × 21/40 × 21 = 882/840
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 300/840 < 882/840 or 30/84 < 42/40

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