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Compare 7/40 and 35/9

1st number: 7/40, 2nd number: 3 8/9

7/40 is smaller than 35/9

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,
    7/40 = 7 × 9/40 × 9 = 63/360
  3. Likewise, for the 2nd fraction, since 9 × 40 = 360,
    35/9 = 35 × 40/9 × 40 = 1400/360
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 63/360 < 1400/360 or 7/40 < 35/9

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