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Compare 36/16 and 56/9

1st number: 2 4/16, 2nd number: 6 2/9

36/16 is smaller than 56/9

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 16 and 9 is 144
  2. For the 1st fraction, since 16 × 9 = 144,
    36/16 = 36 × 9/16 × 9 = 324/144
  3. Likewise, for the 2nd fraction, since 9 × 16 = 144,
    56/9 = 56 × 16/9 × 16 = 896/144
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 324/144 < 896/144 or 36/16 < 56/9

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