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Compare 21/75 and 40/10

1st number: 21/75, 2nd number: 4 0/10

21/75 is smaller than 40/10

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 10 is 150
  2. For the 1st fraction, since 75 × 2 = 150,
    21/75 = 21 × 2/75 × 2 = 42/150
  3. Likewise, for the 2nd fraction, since 10 × 15 = 150,
    40/10 = 40 × 15/10 × 15 = 600/150
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 42/150 < 600/150 or 21/75 < 40/10

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