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Compare 3/10 and 10/9

1st number: 3/10, 2nd number: 1 1/9

3/10 is smaller than 10/9

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 10 and 9 is 90
  2. For the 1st fraction, since 10 × 9 = 90,
    3/10 = 3 × 9/10 × 9 = 27/90
  3. Likewise, for the 2nd fraction, since 9 × 10 = 90,
    10/9 = 10 × 10/9 × 10 = 100/90
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 27/90 < 100/90 or 3/10 < 10/9

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