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Compare 36/40 and 56/9

1st number: 36/40, 2nd number: 6 2/9

36/40 is smaller than 56/9

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 9 is 360
  2. For the 1st fraction, since 40 × 9 = 360,
    36/40 = 36 × 9/40 × 9 = 324/360
  3. Likewise, for the 2nd fraction, since 9 × 40 = 360,
    56/9 = 56 × 40/9 × 40 = 2240/360
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 324/360 < 2240/360 or 36/40 < 56/9

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